Answer:
C
Step-by-step 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. [tex](x^2)^3=(x^2)(x^2)(x^2)=(x*x)(x*x)(x*x)=x^6[/tex]
In this case,
[tex](\frac{4^3}{5^-^2})^5=\frac{4^(^3^*^5^)}{5^(^-^2^*^5^)}=\frac{4^1^5}{5^-^1^0}\\[/tex]
Note that [tex]x^-^n=\frac{1}{x^n}[/tex]
So, 1/5^(-10) = 5^10
So, our answer is C
