s157778
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Select the equivalent expression. (Please Help and Explain.)
(4^3/5^-2)^5=?

Choose 1 answer:
A. 4^15/5^10
B. 4^15*5^10
C. 4^8/5^3

Respuesta :

Answer:

B. 4^15*5^10

Step-by-step explanation:

First you can take the out-out-outside exponent and "pass it out" to both the numerator and the denominator. When you have a power raised to a power, you MULTIPLY the exponents. See image.

Next you can "fix" a negative exponent by pushing it across the fraction bar. As it passes across the fraction bar, the exponent changes sign. So the -10 exponent on the bottom, becomes a positive 10 exponent on top. See image.

Ver imagen lpina68