Simplify the expression.

(–3)^4

I know the answer is 81. I need help explaining how i got the correct answer or showing all steps on how i got my answer.

3 answers

How DID you get your answer?
When you put a negative number in parenthesis, it gets taken into account with the number being multiplied to a power.

Any negative number in parenthesis with an odd power gives you a negative answer.
Any negative number in parenthesis with an even power gives you a positive answer.

(-3)^3 = -3*-3*-3 = -27
(-3)^4 = -3*-3*-3*-3 = 81

Any negative number with no parenthesis, regardless of the power, gives you a negative answer. It is the same as writing: -(x)^y

-3^3 = -(3*3*3) = -27
-3^4 = -(3*3*3*3) = -81

It is confusing, but as long as you remember this, then it will be easy
Thank you @Pat