SOLUTION: Please explain the answer to the following questions. (-3)^4 = 81. -3^4 = -81. Please explain why answer is negative and one question is positive. Thank you.

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Please explain the answer to the following questions. (-3)^4 = 81. -3^4 = -81. Please explain why answer is negative and one question is positive. Thank you.      Log On


   



Question 1084843: Please explain the answer to the following questions.
(-3)^4 = 81.
-3^4 = -81.
Please explain why answer is negative and one question is positive. Thank you.

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%28-3%29%5E4+=+81-> true, because we have negative sign inside parentheses; so,

-3%5E4+=+-81-> true, because we have negative sign in front of parentheses like this -%283%5E4%29 ; so, -3%5E4+=-%283%2A3%2A3%2A3%29=-81

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please explain the answer to the following questions.
(-3)^4 = 81.
-3^4 = -81.
Please explain why answer is negative and one question is positive. Thank you.
%28-+3%29%5E4 <======= The - 3 is being raised to the 4th power.
-+%283%5E4%29 <====== Only the 3 is being raised to the 4th power.