Respuesta :

Yisrael777

Answer:

D. [tex] \frac{{7}^{11} }{ {4}^{11} } [/tex]

Step-by-step explanation:

[tex]( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }[/tex]

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

[tex] \frac{7 {}^{11} }{4 {}^{11} } [/tex]

Hope this helps ❤❤❤ ;)

Answer:

[tex]D. \frac{7^{11} }{4^{11} } \\[/tex]

Step-by-step explanation:

Hello, I can help you with this

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

Let

[tex]a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}[/tex]

Step 1

All you have to do is identify and use the formula

let

[tex](\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} } \\[/tex]

so, the answer is D.

I hope it helps, have a nice day

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