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.

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A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$140​, what would the typical tip​ be?

A typical tip in a restaurant is 15% of the total bill. If the bill is $140, what would the typical tip be?