Question

Which of the following is equal to the fraction below?

(7/4)^11
a. 7^11/4^11
b. 7^11/4
c. 11*(7/4)
d. 77/44

Answer 1

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

Answer is A.
7^11 / 4^11

Hope it helps

Answer 2

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
`((a)/(b))^n`, the exponent n can be "distributed" as:
`((a)/(b))^n= (a^n)/(b^n)`.

In our case, the power, n=11; a=7 and b=4. Thus, the expression
`((7)/(4))^(11)`, can be written as
`(7^(11))/(4^(11))`.

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