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 [tex] (\frac{a}{b})^n [/tex], the exponent n can be "distributed" as: [tex] (\frac{a}{b})^n= \frac{a^n}{b^n} [/tex].
In our case, the power, n=11; a=7 and b=4. Thus, the expression [tex] (\frac{7}{4})^{11}[/tex], can be written as [tex] \frac{7^{11}}{4^{11}} [/tex].
Thus, out of the given options, option A is the correct option.
