Question

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

Answer 1

The expression is given below as

`6^(-4)*6^(-9)`

Concept:

We will apply the indices law of multiplication below

`a^m* a^n=a^(m+n)`

By applying the concept, we will have

`\begin{gathered} 6^(-4)*6^(-9)=6^(-4+(-9)) \\ =6^(-4-9) \\ =6^(-13) \\ =(1)/(6^(13)) \end{gathered}`

Hence,

The final answer is

`\Rightarrow(1)/(6^(13))`