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Let’s check out your problem:
Simplify
(
3
y
3
)
4
{(3y^{3})^{4}}
(
3
y
3
)
4
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Math Problems
Algebra 1
Evaluate integers raised to rational exponents
Full solution
Q.
Simplify
(
3
y
3
)
4
{(3y^{3})^{4}}
(
3
y
3
)
4
Calculate Power of Base
3
3
3
:
Now, we calculate the power of the base
3
3
3
.
3
4
=
3
×
3
×
3
×
3
=
81
3^{4} = 3 \times 3 \times 3 \times 3 = 81
3
4
=
3
×
3
×
3
×
3
=
81
.
Calculate Power of
y
3
y^{3}
y
3
:
Next, we calculate the power of
y
3
y^{3}
y
3
raised to the
4
th
4^{\text{th}}
4
th
power.
\newline
(
y
3
)
4
=
y
3
⋅
4
=
y
12
.
(y^{3})^{4} = y^{3\cdot4} = y^{12}.
(
y
3
)
4
=
y
3
⋅
4
=
y
12
.
Combine Results:
Combine the results from the previous steps to get the final simplified expression.
81
×
y
12
81 \times y^{12}
81
×
y
12
.
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