Question

Simplify. All final answer must have only positive exponents(–6x^8)(9x^ -2)

Answer 1

Given expression:

$=(-6x^8)\text{ }\times(9x^{-2})$

The first step in simplification is to open the bracket:

$=\text{ -6 }\times x^8\text{ }\times\text{ 9 }\times x^{-2}$

Next, we collect like terms:

$=\text{ -6 }\times\text{ 9 }\times x^8\text{ }\times x^{-2}$

Applying the laws of indices and multiplying the terms:

$\begin{gathered} =\text{ -54 }\times x^{8-2} \\ =-54x^6 \end{gathered}$

Answer:

$=-54x^6$