Question

write your answer in exponential form. 6^-4 * 6^-9

Answer 1

Solution:

The expression is given below as

$6^{-4}\times6^{-9}$

Concept:

We will apply the indices law of multiplication below

$a^m\times a^n=a^{m+n}$

By applying the concept, we will have

$\begin{gathered} 6^{-4}\times6^{-9}=6^{-4+(-9)} \\ =6^{-4-9} \\ =6^{-13} \\ =\frac{1}{6^{13}} \end{gathered}$

Hence,

The final answer is

$\Rightarrow\frac{1}{6^{13}}$