Question

Simplify each of the following $\left(7^2{s}^{-2}\right)\times ({49}^{3/2}÷s^3{)}^{-2}$ and find the power of $s$

Answer 1

We have,

$\left(7^2{s}^{-2}\right)\times {({49}^{3/2}÷s^3)}^{-2}$

$\Rightarrow \left(7^2{s}^{-2}\right)\times {({\left(7^2\right)}^{3/2}÷s^3)}^{-2}$

$\Rightarrow \left(7^2{s}^{-2}\right)\times {(7^3÷s^3)}^{-2}$

$\Rightarrow \left(7^2{s}^{-2}\right)\times (7^{-6}÷s^{-6})$

$\Rightarrow \left(7^2{s}^{-2}\right)\times (7^{-6}\times s^6)$

$\Rightarrow (7^{-4}\times s^4)$

So, the power of $s$ is $4$.

Hence, this is the answer.