Question

Simplify: ${\left(-3\right)}^2\times {\left(-5\right)}^2$.

Answer 1

Simplify ${\left(-3\right)}^2\times {\left(-5\right)}^2$ .

Simplify into a single number:

$\begin{array}{rcl}{\left(-3\right)}^2\times {\left(-5\right)}^2& =& \left\{\left(-3\right)\times \left(-3\right)\right\}\times \left\{\left(-5\right)\times \left(-5\right)\right\}\\ & =& 9\times 25\left[\because \left(-\right)\times \left(-\right)=\left(+\right)\right]\\ & =& 225\end{array}$

Hence, ${\left(-3\right)}^2\times {\left(-5\right)}^2=225$.