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Gekata [30.6K]
3 years ago
11

Can someone help me with this

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
7 0

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 ❤❤❤ ;)

ira [324]3 years ago
5 0

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

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