Question

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

Answer 1

Answer:

The question is given below as

$(x^{-3})^2.x^8$

Step 1:

Use the exponent formula below

$(x^m)^n=x^{m\times n}=x^{mn}$$(x^{-3})^2=x^{-3\times2}=x^{-6}$

Apply the rule below

$\begin{gathered} x^a\times x^b=x^{a+b} \\ x^{-6}\times x^8=x^{-6+8}=x^2 \\ =x^2 \end{gathered}$

Hence,

The final answer is

$\Rightarrow x^2$

The FIRST OPTION IS THE RIGHT ANSWER