Question

Could you help me solve this equation? (Not from a graded assignment)

Answer 1

The question is given below as

`(x^(-3))^2.x^8`

Step 1:

Use the exponent formula below

`(x^m)^n=x^(m* n)=x^(mn)`
`(x^(-3))^2=x^(-3*2)=x^(-6)`

Apply the rule below

`\begin{gathered} x^a* x^b=x^(a+b) \\ x^(-6)* x^8=x^(-6+8)=x^2 \\ =x^2 \end{gathered}`

Hence,

The final answer is

`\Rightarrow x^2`

The FIRST OPTION IS THE RIGHT ANSWER