# Thread: Simplify and write each as a single power.

1. ## Simplify and write each as a single power.

Hey guys,

the task: Simplify. Write each as a single power. Do not evaluate.

(-Q)^2 (-Q)^5 (-Q)

my final answer would be = -Q^8

It should be = -Q^8 = (-1*Q)^8 = (-1)^8 Q^8 = Q^8

Could somebody explain why?

2. ## Re: Simplify and write each as a single power.

$\displaystyle (-q)^2=+q^2$

$\displaystyle (-q)^5=-q^5$

(-2)^7
-------
(-2)^3

4. ## Re: Simplify and write each as a single power.

=(-2)^(7-3=4) = +(2)^4