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Math Problems
Grade 8
Relationship between squares and square roots
log
1
2
32
=
\log _{\frac{1}{2}} 32=
lo
g
2
1
32
=
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log
9
3
=
\log _{9} 3=
lo
g
9
3
=
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log
10
1
=
\log _{10} 1=
lo
g
10
1
=
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log
5
125
=
\log _{5} 125=
lo
g
5
125
=
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Solve the following equation for
y
y
y
.
\newline
y
+
6
=
2
y
2
+
72
y
=
□
\begin{array}{l} y+6=\sqrt{2 y^{2}+72} \\ y=\square \end{array}
y
+
6
=
2
y
2
+
72
y
=
□
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9
100
\sqrt{9^{100}}
9
100
\newline
Which of the following values is equivalent to the given expression?
\newline
Choose
1
1
1
answer:
\newline
(A)
3
10
3^{10}
3
10
\newline
(B)
9
10
9^{10}
9
10
\newline
(C)
3
100
3^{100}
3
100
\newline
(D)
9
98
9^{98}
9
98
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The quotient of
m
4
5
m
3
4
\frac{\sqrt[5]{m^{4}}}{\sqrt[4]{m^{3}}}
4
m
3
5
m
4
and
m
m
6
5
\frac{\sqrt{m}}{\sqrt[5]{m^{6}}}
5
m
6
m
is equal to
m
y
m^{y}
m
y
. What is the value of
y
y
y
?
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What is the value of
cos
(
6
0
∘
)
?
\cos \left(60^{\circ}\right) ?
cos
(
6
0
∘
)
?
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What is the value of
cos
(
9
0
∘
)
\cos \left(90^{\circ}\right)
cos
(
9
0
∘
)
?
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Simplify:
\newline
(
25
)
2
=
_
_
_
_
_
(\sqrt{25})^2 = \_\_\_\_\_
(
25
)
2
=
_____
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