Question

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

Answer 1

Given the expression

`9^{(3)/(2)}-25^{(1)/(2)}`

We can simplify the expression using the laws of indices below

`a^{(m)/(n)}=(\sqrt[n]{a}\text{ )}^m`

Therefore, we will have;

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

Answer: 22