Question

Write an expression that simplifies x^-4? Would it be 1/x^4? Please help explain. Thanks!

Answer 1

Answer::

`(x^(-7))/(x^(-3))`

Explanation:

Given the expression:

`x^(-4)`

We want to find an expression that simplifies to the given expression.

Consider the expression below:

`(x^(-7))/(x^(-3))`

Applying the division law of indices:

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

Therefore:

`(x^(-7))/(x^(-3))=x^(-7-(-3))=x^(-7+3)=x^(-4)`

An expression that simplifies to the given expression is:

`(x^(-7))/(x^(-3))`