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Let’s check out your problem:
(
3
x
9
y
3
)
2
\left(3 x^{9} y^{3}\right)^{2}
(
3
x
9
y
3
)
2
=
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Math Problems
Algebra 1
Multiply radical expressions
Full solution
Q.
(
3
x
9
y
3
)
2
\left(3 x^{9} y^{3}\right)^{2}
(
3
x
9
y
3
)
2
=
Apply power rule:
Step
1
1
1
: Apply the power of a power rule, which states
(
a
m
)
n
=
a
m
∗
n
(a^m)^n = a^{m*n}
(
a
m
)
n
=
a
m
∗
n
.
\newline
Calculation:
(
3
x
9
y
3
)
2
=
3
2
∗
(
x
9
∗
2
)
∗
(
y
3
∗
2
)
(3x^{9}y^{3})^{2} = 3^{2}*(x^{9*2})*(y^{3*2})
(
3
x
9
y
3
)
2
=
3
2
∗
(
x
9
∗
2
)
∗
(
y
3
∗
2
)
Perform exponentiation:
Step
2
2
2
: Perform the exponentiation.
\newline
Calculation:
3
2
=
9
3^{2} = 9
3
2
=
9
,
x
9
×
2
=
x
18
x^{9\times2} = x^{18}
x
9
×
2
=
x
18
,
y
3
×
2
=
y
6
y^{3\times2} = y^{6}
y
3
×
2
=
y
6
Combine results:
Step
3
3
3
: Combine the results from Step
2
2
2
.
\newline
Calculation:
9
x
18
y
6
9x^{18}y^{6}
9
x
18
y
6
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