Question

Which expression is equivalent to the given expression? Give a step-by-step guide and explain how you got to your answer, so I can actually learn how to do this.

Answer 1

The Solution:

Given:

Required:

Find an equivalent expression of the given expression.

$\begin{gathered} (2w^{-2})^3(8w^6) \\ \\ 2^3\times8\times w^{-2\times3}\times w^6 \end{gathered}$$\begin{gathered} 8\times8\times w^{-6}\times w^6 \\ \\ 64\times w^{-6+6} \\ 64\times w^0 \\ 64\times1 \\ 64 \end{gathered}$

Answer:

[option B]