Question

Write the proper numbers in the boxes.

(3) ${\left(\frac{4}{5}\right)}^{11}\times {\left(\frac{4}{5}\right)}^2={\left(\frac{4}{5}\right)}^{\boxed{}}$

Answer 1

${\left(\frac{4}{5}\right)}^{11}\times {\left(\frac{4}{5}\right)}^2={\left(\frac{4}{5}\right)}^{\boxed{}}$
Consider ${\left(\frac{4}{5}\right)}^{11}\times {\left(\frac{4}{5}\right)}^2$
$$\begin{gathered} ={\left(\frac{4}{5}\right)}^{11+2}\left(a^m\times a^n=a^{m+n}\right) \\ ={\left(\frac{4}{5}\right)}^{\boxed{13}} \end{gathered}$$