Supposing that you need to evaluate the expression `-x*(x^2)^2` , you need to respect the order of operations, hence you need to raise the term inside brackets to square and then you need to multiply by (-x) the result such that:

`(x^2)^2 = x^(2*2) = x^4`

Notice that you need to multiply the exponents such that: `(x^2)^2 = x^4.`

You need to multiply the result by -x, hence, you need to multiply the coefficients and the variables such that:

`(-x)*(x^4) = (-1)*(1)*(x*x^4) = - x^(1+4) = -x^5`

Notice that multiplication of two powers that have the same base means raising the base to the sum of exponents.

**Hence, simplifying the given expression yields `(-x)*(x^2)^2 = -x^5.` **

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now