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Math Problems
Algebra 1
Negative exponents
Write the expression as a whole number with a negative exponent. Do not evaluate the expression.
\newline
1
9
3
69
\frac{1}{93^{69}}
9
3
69
1
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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.
\newline
1
5
20
\frac{1}{5^{20}}
5
20
1
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Which is equal to
3
−
25
3^{-25}
3
−
25
?
\newline
Choices:
\newline
(A)
1
3
25
\frac{1}{3^{25}}
3
25
1
\newline
(B)
(
−
3
)
25
(-3)^{25}
(
−
3
)
25
\newline
(C)
1
3
−
25
\frac{1}{3^{-25}}
3
−
25
1
\newline
(D)
(
−
3
)
−
25
(-3)^{-25}
(
−
3
)
−
25
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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.
\newline
1
6
6
8
\frac{1}{66^8}
6
6
8
1
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Is
8
\sqrt{8}
8
a real number?
\newline
Choices:
\newline
(A) yes
\newline
(B) no
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Let
x
x
x
represent any number in the set of even integers greater than
1
1
1
. Which inequality is true for all values of
x
x
x
?
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alecont
\newline
ormat Slide Arrange Tools Extensions Help Accessibility
\newline
Fit
\newline
Background
\newline
Layout
\newline
Theme
\newline
Transition
\newline
Let
x
x
x
represent any number in the set of even integers greater than
1
1
1
.
\newline
Which inequality is true for all values of
x
x
x
?
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Module
1
1
1
Quiz
\newline
Question
3
3
3
of
10
10
10
(
1
1
1
point) | Question Attempt:
1
1
1
of
1
1
1
\newline
KABRIE
\newline
(a) Sketch
θ
=
−
33
0
∘
\theta=-330^{\circ}
θ
=
−
33
0
∘
in standard position.
\newline
Español
\newline
Then sketch an angle between
0
∘
0^{\circ}
0
∘
and
36
0
∘
360^{\circ}
36
0
∘
that is coterminal with
θ
\theta
θ
.
\newline
(b) Find the measure of the coterminal angle. Your answer should be between
0
∘
0^{\circ}
0
∘
and
36
0
∘
360^{\circ}
36
0
∘
.
\newline
Continue
\newline
Submit Assignment
\newline
(c)
2024
2024
2024
McGraw Hill LLC. All Rights Reserved.
\newline
Terms of Use
\newline
Privacy Center
\newline
Accessibility
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Simplify
−
27
\sqrt{-27}
−
27
.
\newline
If the answer is radical use
5
\sqrt{5}
5
to denote
5
\sqrt{5}
5
(use the correct radicand in the problem)
\newline
If the answer is complex use
i
i
i
.
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(
4
4
4
) Given: First two terms are
10
10
10
and
20
20
20
. The rest of the terms are the average of the preceding terms. What is
201
5
th
2015^{\text{th}}
201
5
th
term?
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(
4
4
4
) Given: First two terms are
10
10
10
and
20
20
20
. The rest of the terms are the average of the preceding terms. What is
201
5
th
2015^{\text{th}}
201
5
th
term?
\newline
20150
20150
20150
Get tutor help
f
(
x
)
=
{
−
5
for
x
<
3
2
for
x
=
3
−
(
x
−
4
)
2
+
5
for
x
>
3
f(x)=\left\{\begin{array}{lll} -5 & \text { for } & x<3 \\ 2 & \text { for } & x=3 \\ -(x-4)^{2}+5 & \text { for } & x>3 \end{array}\right.
f
(
x
)
=
⎩
⎨
⎧
−
5
2
−
(
x
−
4
)
2
+
5
for
for
for
x
<
3
x
=
3
x
>
3
\newline
Find
f
(
2
)
f(2)
f
(
2
)
\newline
Answer:
\newline
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f
(
x
)
=
{
(
x
+
1
)
2
−
8
for
x
≠
−
4
3
for
x
=
−
4
f(x)=\left\{\begin{array}{lll} (x+1)^{2}-8 & \text { for } & x \neq-4 \\ 3 & \text { for } & x=-4 \end{array}\right.
f
(
x
)
=
{
(
x
+
1
)
2
−
8
3
for
for
x
=
−
4
x
=
−
4
\newline
Find
f
(
−
1
)
f(-1)
f
(
−
1
)
\newline
Answer:
\newline
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f
(
x
)
=
{
−
(
x
+
6
)
2
−
2
for
x
≤
−
5
−
6
x
−
14
for
x
>
−
2
f(x)=\left\{\begin{array}{lll} -(x+6)^{2}-2 & \text { for } & x \leq-5 \\ -6 x-14 & \text { for } & x>-2 \end{array}\right.
f
(
x
)
=
{
−
(
x
+
6
)
2
−
2
−
6
x
−
14
for
for
x
≤
−
5
x
>
−
2
\newline
Find
f
(
−
5
)
f(-5)
f
(
−
5
)
\newline
Answer:
\newline
Get tutor help
f
(
x
)
=
{
−
(
x
−
2
)
2
+
3
for
x
<
2
−
3
for
x
=
2
−
2
x
+
7
for
2
<
x
≤
6
f(x)=\left\{\begin{array}{lll} -(x-2)^{2}+3 & \text { for } & x<2 \\ -3 & \text { for } & x=2 \\ -2 x+7 & \text { for } & 2<x \leq 6 \end{array}\right.
f
(
x
)
=
⎩
⎨
⎧
−
(
x
−
2
)
2
+
3
−
3
−
2
x
+
7
for
for
for
x
<
2
x
=
2
2
<
x
≤
6
\newline
Find
f
(
4
)
f(4)
f
(
4
)
\newline
Answer:
\newline
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Solve the equation. Check your solution
\newline
1
4
(
−
16
k
+
52
)
=
8
+
10
k
\frac{1}{4}(-16k+52)=8+10k
4
1
(
−
16
k
+
52
)
=
8
+
10
k
\newline
The solution set is {\longrightarrow}. Type an integer or a simo
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Find the average value of the function
f
(
x
)
=
6
3
−
4
x
f(x)=\frac{6}{3-4 x}
f
(
x
)
=
3
−
4
x
6
from
x
=
1
x=1
x
=
1
to
x
=
7
x=7
x
=
7
. Express your answer as a constant times
ln
5
\ln 5
ln
5
.
\newline
Answer:
□
ln
5
\square\ln 5
□
ln
5
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Find the average value of the function
f
(
x
)
=
3
9
−
4
x
f(x)=\frac{3}{9-4 x}
f
(
x
)
=
9
−
4
x
3
from
x
=
3
x=3
x
=
3
to
x
=
6
x=6
x
=
6
. Express your answer as a constant times
ln
5
\ln 5
ln
5
.
\newline
Answer:
□
ln
5
\square\ln 5
□
ln
5
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Write the expression
−
ln
2
+
3
-\ln 2+3
−
ln
2
+
3
as a single logarithm in simplest form without any negative exponents.
\newline
Answer:
ln
(
□
)
\ln (\square)
ln
(
□
)
Get tutor help
A baby mango tree stands
2
2
2
.
6
6
6
meters above the ground. Its roots extend
7
5
\frac{7}{5}
5
7
meters below the ground.
\newline
Which
2
2
2
of the following expressions represents the vertical distance between the top of the mango tree and the tips of its roots?
\newline
Choose
2
2
2
answers:
\newline
(A)
∣
−
7
5
−
2.6
∣
\left|-\frac{7}{5}-2.6\right|
∣
∣
−
5
7
−
2.6
∣
∣
\newline
(B)
∣
2.6
+
7
5
∣
\left|2.6+\frac{7}{5}\right|
∣
∣
2.6
+
5
7
∣
∣
\newline
(C)
∣
2.6
−
7
5
∣
\left|2.6-\frac{7}{5}\right|
∣
∣
2.6
−
5
7
∣
∣
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Jonael dropped a sandbag from a hot air balloon at a target that is
250
250
250
meters below the balloon. At this moment, the sandbag is
75
75
75
meters below the balloon.
\newline
Which
2
2
2
of the following expressions represents the distance between the sandbag and the target?
\newline
Choose
2
2
2
answers:
\newline
(A)
∣
−
250
+
75
∣
|-250+75|
∣
−
250
+
75∣
\newline
(B)
∣
250
+
75
∣
|250+75|
∣250
+
75∣
\newline
(C)
∣
−
75
+
250
∣
|-75+250|
∣
−
75
+
250∣
Get tutor help
Order the following numbers from least to greatest.
\newline
Put the least number on the left.
\newline
1
−
8
4
−
4.5
4
8
1 \quad -\frac{8}{4} \quad -4.5 \quad \frac{4}{8}
1
−
4
8
−
4.5
8
4
Get tutor help
Evaluate the expression.
\newline
Do not round your answer.
\newline
(
2
⋅
3
)
2
−
5
2
=
(2 \cdot 3)^{2}-5^{2}=
(
2
⋅
3
)
2
−
5
2
=
Get tutor help
Evaluate the expression.
\newline
Do not round your answer.
\newline
2
(
1
3
2
)
=
2\left(\frac{1}{3^{2}}\right)=
2
(
3
2
1
)
=
Get tutor help
Evaluate the expression.
\newline
Do not round your answer.
\newline
1
2
(
4
⋅
5
)
−
2
3
=
\frac{1}{2}(4 \cdot 5)-2^{3}=
2
1
(
4
⋅
5
)
−
2
3
=
Get tutor help
Evaluate the expression. Do not round your answer.
\newline
(
1
9
−
2
)
2
=
\left(\frac{1}{9-2}\right)^{2}=
(
9
−
2
1
)
2
=
Get tutor help
Evaluate the expression.
\newline
Do not round your answer.
\newline
5
−
3
2
2
=
5-\frac{3^{2}}{2}=
5
−
2
3
2
=
Get tutor help
Evaluate the expression.
\newline
Do not round your answer.
\newline
1
4
(
2
3
+
4
2
)
=
\frac{1}{4}\left(2^{3}+4^{2}\right)=
4
1
(
2
3
+
4
2
)
=
Get tutor help
Evaluate the expression. Do not round your answer.
\newline
1
4
(
6
+
3
+
1
)
2
=
\frac{1}{4}(6+3+1)^{2}=
4
1
(
6
+
3
+
1
)
2
=
Get tutor help
Evaluate the expression. Do not round your answer.
\newline
(
2
⋅
3
)
2
+
5
2
=
(2 \cdot 3)^{2}+5^{2}=
(
2
⋅
3
)
2
+
5
2
=
Get tutor help
Evaluate the expression. Do not round your answer.
\newline
1
3
(
4
⋅
3
)
+
2
3
=
\frac{1}{3}(4 \cdot 3)+2^{3}=
3
1
(
4
⋅
3
)
+
2
3
=
Get tutor help
Evaluate the expression.
\newline
Do not round your answer.
\newline
2
(
3
2
+
4
2
)
=
2\left(3^{2}+4^{2}\right)=
2
(
3
2
+
4
2
)
=
Get tutor help
Evaluate the expression. Do not round your answer.
\newline
(
1
+
3
9
)
2
=
\left(\frac{1+3}{9}\right)^{2}=
(
9
1
+
3
)
2
=
Get tutor help
Order the expressions from least to greatest.
\newline
5
2
4
2
+
2
2
6
2
−
6
5^{2} \quad 4^{2}+2^{2} \quad 6^{2}-6
5
2
4
2
+
2
2
6
2
−
6
Get tutor help
Evaluate the expression. Do not round your answer.
\newline
1
5
(
3
+
2
+
5
)
2
=
\frac{1}{5}(3+2+5)^{2}=
5
1
(
3
+
2
+
5
)
2
=
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6
4
27
3
\sqrt[3]{64^{27}}
3
6
4
27
\newline
Which of the following is equivalent to the given expression?
\newline
Choose
1
1
1
answer:
\newline
(A)
4
3
4^{3}
4
3
\newline
(B)
6
4
3
64^{3}
6
4
3
\newline
(C)
8
18
8^{18}
8
18
\newline
(D)
6
4
24
64^{24}
6
4
24
Get tutor help
(
x
−
10
)
2
(x-10)^{2}
(
x
−
10
)
2
\newline
Which of the following is equivalent to the given expression?
\newline
Choose
1
1
1
answer:
\newline
(A)
x
2
+
100
x^{2}+100
x
2
+
100
\newline
(B)
2
x
2
−
20
x
+
100
2 x^{2}-20 x+100
2
x
2
−
20
x
+
100
\newline
(C)
x
2
−
20
x
+
100
x^{2}-20 x+100
x
2
−
20
x
+
100
\newline
(D)
x
2
−
20
x
−
20
x^{2}-20 x-20
x
2
−
20
x
−
20
Get tutor help
What is the value of
tan
(
22
5
∘
)
?
\tan \left(225^{\circ}\right) ?
tan
(
22
5
∘
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
1
-1
−
1
\newline
(B)
−
2
2
-\frac{\sqrt{2}}{2}
−
2
2
\newline
(C)
2
2
\frac{\sqrt{2}}{2}
2
2
\newline
(D)
1
1
1
Get tutor help
Which of the following is equal to
x
(
x
2
+
9
)
x\left(x^{2}+9\right)
x
(
x
2
+
9
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
x
2
+
x
+
9
x^{2}+x+9
x
2
+
x
+
9
\newline
(B)
x
2
+
9
x
x^{2}+9 x
x
2
+
9
x
\newline
(C)
x
3
+
9
x^{3}+9
x
3
+
9
\newline
(D)
x
3
+
9
x
x^{3}+9 x
x
3
+
9
x
Get tutor help
Which of the following is equivalent to
2
x
2
(
x
−
2
)
2 x^{2}(x-2)
2
x
2
(
x
−
2
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
x
3
−
2
2 x^{3}-2
2
x
3
−
2
\newline
(B)
2
x
3
−
2
x
2
2 x^{3}-2 x^{2}
2
x
3
−
2
x
2
\newline
(C)
2
x
3
−
2
x
2
−
2
2 x^{3}-2 x^{2}-2
2
x
3
−
2
x
2
−
2
\newline
(D)
2
x
3
−
4
x
2
2 x^{3}-4 x^{2}
2
x
3
−
4
x
2
Get tutor help
2
203
+
2
204
2^{203}+2^{204}
2
203
+
2
204
\newline
Which of the following values is equal to the value?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
407
2^{407}
2
407
\newline
(B)
3
(
2
203
)
3\left(2^{203}\right)
3
(
2
203
)
\newline
(C)
3
(
2
204
)
3\left(2^{204}\right)
3
(
2
204
)
\newline
(D)
2
202
+
2
205
2^{202}+2^{205}
2
202
+
2
205
Get tutor help
x
2
−
36
x^{2}-36
x
2
−
36
\newline
Which of the following is equivalent to the given expression?
\newline
Choose
1
1
1
answer:
\newline
(A)
(
x
−
6
)
2
(x-6)^{2}
(
x
−
6
)
2
\newline
(B)
(
x
+
6
)
2
(x+6)^{2}
(
x
+
6
)
2
\newline
(C)
(
x
−
6
)
(
x
+
6
)
(x-6)(x+6)
(
x
−
6
)
(
x
+
6
)
\newline
(D)
x
(
x
−
36
)
x(x-36)
x
(
x
−
36
)
Get tutor help
(
n
6
k
14
)
5
\left(n^{6} k^{14}\right)^{5}
(
n
6
k
14
)
5
\newline
Which of the following is equivalent to the given expression?
\newline
Choose
1
1
1
answer:
\newline
(A)
(
n
2
k
5
)
3
\left(n^{2} k^{5}\right)^{3}
(
n
2
k
5
)
3
\newline
(B)
(
n
3
)
10
(
k
2
)
7
\left(n^{3}\right)^{10}\left(k^{2}\right)^{7}
(
n
3
)
10
(
k
2
)
7
\newline
(C)
(
n
15
k
35
)
2
\left(n^{15} k^{35}\right)^{2}
(
n
15
k
35
)
2
\newline
(D)
(
n
5
)
5
(
k
10
)
7
\left(n^{5}\right)^{5}\left(k^{10}\right)^{7}
(
n
5
)
5
(
k
10
)
7
Get tutor help
Which is equal to
9
−
61
9^{-61}
9
−
61
?
\newline
Choices:
\newline
1
(
−
9
)
−
61
\frac{1}{(-9)^{-61}}
(
−
9
)
−
61
1
\newline
(
−
9
)
−
61
(-9)^{-61}
(
−
9
)
−
61
\newline
(
−
9
)
61
(-9)^{61}
(
−
9
)
61
\newline
1
(
9
61
)
\frac{1}{(9^{61})}
(
9
61
)
1
Get tutor help
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