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Exercise

$32x^{12}\sqrt[15]{y^{16}}$

Step-by-step Solution

1

Simplify $\sqrt{y^{16}}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $16$ and $n$ equals $\frac{1}{15}$

$32x^{12}y^{16\cdot \left(\frac{1}{15}\right)}$
2

Multiply the fraction and term in $16\cdot \left(\frac{1}{15}\right)$

$32x^{12}\sqrt[15]{y^{16}}$

Final answer to the exercise

$32x^{12}\sqrt[15]{y^{16}}$

Try other ways to solve this exercise

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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