Question

Simplify the expression using the properties of exponents. Expand any numerical portion of your answerand only include positive exponents.73AnswerKeypadKeyboard Shortcu

Answer 1

Given:

`(x^(-4))/(x^3)`

To simplify the given expression, we use the Quotient Rule first:

`(x^a)/(x^b)=x^(a-b)`

Based on this, our expression would be:

`(x^(-4))/(x^3)=x^(-4-3)`

Next, we simplify:

`\begin{gathered} =x^(-7) \\ \end{gathered}`

Then, we use the Negative Power Rule:

`x^(-a)=(1)/(x^a)`

So,

`x^(-7)=(1)/(x^7)`

Therefore, the answer is:

`(1)/(x^7)`