Question

Convert the following expressions with rational
exponents to the radical form
(-32y^10)^1/5

Answer 1

Answer:

$\sqrt[5]{(-32y^{10})}$

Step-by-step explanation:

To convert the expression $(-32y^{10})^{\frac{1}{5}}$ from rational exponent form to radical form, we recall that $a^{\frac{m}{n}}$ is equivalent to the $n$-th root of $a^m$.

Therefore, we can express $(-32y^{10})^{\frac{1}{5}}$ as the fifth root of $(-32y^{10})$:

$(-32y^{10})^{\frac{1}{5}} = \sqrt[5]{(-32y^{10})}$

So, the expression $(-32y^{10})^{\frac{1}{5}}$ in radical form is:

$\sqrt[5]{(-32y^{10})}$