Question

Can someone help me with this

Answer 1

Answer:

D. $\frac{{7}^{11} }{ {4}^{11} }$

Step-by-step explanation:

$( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }$

Since we are multiplying an exponential number to a fraction the answer is going to be

$\frac{7 {}^{11} }{4 {}^{11} }$

Hope this helps ❤❤❤ ;)

Answer 2

Answer:

$D. \frac{7^{11} }{4^{11} }$

Step-by-step explanation:

Hello, I can help you with this

Let's remmber some propiertis of the fraction numbers and the potenciation

Let

$a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}$

Step 1

All you have to do is identify and use the formula

let

$(\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} }$

so, the answer is D.

I hope it helps, have a nice day