Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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

Sagot :

plumeus01

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

BasketballEinstein

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 your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.