Answered

IDNLearn.com offers a collaborative platform for sharing and gaining knowledge. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.

why does -2 to the power of 3 produce the same answer as (-2) to the power of 3

Sagot :

Plumeus01idn

Answer:

because it's an odd exponent

Step-by-step explanation:

-2^3 = -(2*2*2)

(-2)^3 = (-2)*(-2)*(-2)

if it was ^4 the sign would be flipped:

-2^4 = -(2*2*2*2) = -16

(-2)^4 = (-2)*(-2)*(-2)*(-2) = 16

BasketballEinsteinidn

The way to put this is that any negative base raised to an odd-numbered power, will result in a negative result, whereas any negative base raised to an even-numbered power, will result in a positive result, with the EXCEPTION of a negative base written WITHOUT grouping symbols. For instanse:

[tex]\displaystyle -1000 = -10^3 \\ -1000 = [-10]^3 \\ \\ BUT \\ \\ 10000 ≠ -10^4\:[-10000 = -10^4] \\ 10000 = [-10]^4[/tex]

I hope you know the differense now, and as always, I am joyous to assist anyone at any time.

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.