Question

9^3/2-25^1/2 please help and explain thoroughly. thank you.

Answer 1

Given the expression

$9^{\frac{3}{2}}-25^{\frac{1}{2}}$

We can simplify the expression using the laws of indices below

$a^{\frac{m}{n}}=(\sqrt[n]{a}\text{ )}^m$

Therefore, we will have;

$\begin{gathered} 9^{\frac{3}{2}}-25^{\frac{1}{2}} \\ =(\sqrt[]{9\text{ }})^3-(\sqrt[]{25}) \\ =3^3-5 \\ =27-5 \\ =22 \end{gathered}$

Answer: 22