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Let’s check out your problem:
Complete the table for the given rule.
\newline
Rule:
y
=
x
−
1
4
y=x-\frac{1}{4}
y
=
x
−
4
1
\newline
\begin{tabular}{cc}
\newline
x
x
x
&
y
y
y
\\
\newline
\hline
1
4
\frac{1}{4}
4
1
&
□
\square
□
\\
\newline
13
4
\frac{13}{4}
4
13
&
□
\square
□
\newline
\end{tabular}
\newline
2
2
2
View step-by-step help
Home
Math Problems
Algebra 2
Power rule
Full solution
Q.
Complete the table for the given rule.
\newline
Rule:
y
=
x
−
1
4
y=x-\frac{1}{4}
y
=
x
−
4
1
\newline
\begin{tabular}{cc}
\newline
x
x
x
&
y
y
y
\\
\newline
\hline
1
4
\frac{1}{4}
4
1
&
□
\square
□
\\
\newline
13
4
\frac{13}{4}
4
13
&
□
\square
□
\newline
\end{tabular}
\newline
2
2
2
Calculate
y
y
y
for
x
=
1
4
x = \frac{1}{4}
x
=
4
1
:
For
x
=
1
4
x = \frac{1}{4}
x
=
4
1
, calculate
y
y
y
using the rule
y
=
x
−
1
4
y = x - \frac{1}{4}
y
=
x
−
4
1
.
y
=
(
1
4
)
−
(
1
4
)
y = \left(\frac{1}{4}\right) - \left(\frac{1}{4}\right)
y
=
(
4
1
)
−
(
4
1
)
y
=
0
y = 0
y
=
0
Calculate
y
y
y
for
x
=
13
4
x = \frac{13}{4}
x
=
4
13
:
For
x
=
13
4
x = \frac{13}{4}
x
=
4
13
, calculate
y
y
y
using the rule
y
=
x
−
1
4
y = x - \frac{1}{4}
y
=
x
−
4
1
.
y
=
(
13
4
)
−
(
1
4
)
y = \left(\frac{13}{4}\right) - \left(\frac{1}{4}\right)
y
=
(
4
13
)
−
(
4
1
)
y
=
12
4
y = \frac{12}{4}
y
=
4
12
y
=
3
y = 3
y
=
3
Calculate
y
y
y
for
x
=
2
x = 2
x
=
2
:
For
x
=
2
x = 2
x
=
2
, calculate
y
y
y
using the rule
y
=
x
−
1
4
y = x - \frac{1}{4}
y
=
x
−
4
1
.
y
=
2
−
(
1
4
)
y = 2 - \left(\frac{1}{4}\right)
y
=
2
−
(
4
1
)
y
=
8
4
−
1
4
y = \frac{8}{4} - \frac{1}{4}
y
=
4
8
−
4
1
y
=
7
4
y = \frac{7}{4}
y
=
4
7
More problems from Power rule
Question
Simplify.
\newline
8
1
1
2
81^{\frac{1}{2}}
8
1
2
1
\newline
_____________
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Question
Simplify.
\newline
(
−
32
)
1
/
5
(-32)^{1/5}
(
−
32
)
1/5
\newline
______
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Posted 2 months ago
Question
Simplify. Assume all variables are positive.
\newline
w
4
3
w
7
3
\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}
w
3
7
w
3
4
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
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Posted 2 months ago
Question
Simplify. Assume all variables are positive.
\newline
(
2
r
1
3
)
8
(2r^{\frac{1}{3}})^8
(
2
r
3
1
)
8
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
Get tutor help
Posted 1 month ago
Question
Simplify. Assume all variables are positive.
\newline
v
7
4
⋅
v
9
4
v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}
v
4
7
⋅
v
4
9
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
Get tutor help
Posted 2 months ago
Question
Simplify.
\newline
1
1
4
⋅
1
1
4
1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}
1
4
1
⋅
1
4
1
\newline
______
Get tutor help
Posted 1 month ago
Question
Simplify.
\newline
3
2
(
−
1
/
5
)
32^{(-1/5)}
3
2
(
−
1/5
)
Get tutor help
Posted 1 month ago
Question
Simplify. Assume all variables are positive.
\newline
w
3
2
w
5
2
\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}
w
2
5
w
2
3
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
Get tutor help
Posted 2 months ago
Question
Simplify. Assume all variables are positive.
\newline
(
27
x
)
2
3
(27x)^{\frac{2}{3}}
(
27
x
)
3
2
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
Get tutor help
Posted 2 months ago
Question
Simplify. Assume all variables are positive.
\newline
x
1
4
x
11
4
\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}
x
4
11
x
4
1
\newline
\newline
Write your answer in the form
A
A
A
or
A
B
\frac{A}{B}
B
A
, where
A
A
A
and
B
B
B
are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.
\newline
______
\newline
Get tutor help
Posted 1 month ago