Question

Which of the following is equal to the fraction below?

Answer 1

In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as $(\frac{a}{b})^n$, the exponent n can be "distributed" as: $(\frac{a}{b})^n= \frac{a^n}{b^n}$.

In our case, the power, n=11; a=7 and b=4. Thus, the expression $(\frac{7}{4})^{11}$, can be written as $\frac{7^{11}}{4^{11}}$.

Thus, out of the given options, option A is the correct option.

Answer 2

(7/4)^11 = 7^11 / 4^11

Answer is A. 
 7^11 / 4^11

Hope it helps