This is due tomorrow and I haven't done it at ALL. Please and thank you.

Question

asked Oct 5, 2020 99.4k views

1 Answer

Sivakumar M · Answer 1 · 2020-10-10T20:09:47+0000

Answer:

C

Explanation:

First, when fractions get raised to an exponent, both the numerator and the denominator get raised to the power.

When exponents get raised to a power, the powers multiply.

E.g.
(x^2)^3=(x^2)(x^2)(x^2)=(x*x)(x*x)(x*x)=x^6

In this case,

$((4^3)/(5^-^2))^5=(4^(^3^*^5^))/(5^(^-^2^*^5^))=(4^1^5)/(5^-^1^0)\\$

Note that
x^-^n=(1)/(x^n)

So, 1/5^(-10) = 5^10

So, our answer is C