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

Szekelygobe asked Nov 18, 2023

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Szekelygobe asked Nov 18, 2023

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18 votes

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

Sadee answered Nov 22, 2023

by Sadee

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