Question

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

Answer 1

Given expression:

`=(-6x^8)\text{ }*(9x^(-2))`

The first step in simplification is to open the bracket:

`=\text{ -6 }* x^8\text{ }*\text{ 9 }* x^(-2)`

Next, we collect like terms:

`=\text{ -6 }*\text{ 9 }* x^8\text{ }* x^(-2)`

Applying the laws of indices and multiplying the terms:

`\begin{gathered} =\text{ -54 }* x^(8-2) \\ =-54x^6 \end{gathered}`

Answer:

`=-54x^6`