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Exercise

$\sqrt[5]{5^{a^3}}$

Step-by-step Solution

1

Simplify $\sqrt[5]{5^{\left(a^3\right)}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $a^3$ and $n$ equals $\frac{1}{5}$

$5^{\frac{1}{5}a^3}$

Final answer to the exercise

$5^{\frac{1}{5}a^3}$

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Similar Questions Solved

$\sqrt[4]{x^3}$

$\left(2^3\right)^2$

$\left(5^3\right)^4$

$\sqrt[3]{x^3}$

$\left(2^2\right)^4$

$\left(3^2\right)^3$

Main Topic: Powers of powers

When we have a power inside another power, we can simplify multiplying the exponents: $\left(x^m\right)^n=x^{m\cdot n}$.

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