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fenix001 [56]
4 years ago
12

PLEASE HELP ~ 15 POINTS

Mathematics
1 answer:
Vladimir79 [104]4 years ago
6 0

For this case we must simplify the following expression:

(\frac {n ^ {\frac {3} {2}}} {n ^ {- \frac {1} {6}}}) ^ {- 3}

By definition of power properties we have:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Then, rewriting the expression:

(n ^ {\frac {3} {2}} * n ^ {\frac {1} {6}}) ^ {- 3} =

To multiply powers of the same base, we put the same base and add the exponents:

(n ^ {\frac {3} {2} + \frac {1} {6}}) ^ {- 3} =\\(n ^ {\frac {18 + 2} {12}}) ^ {- 3} =\\(n ^ {\frac {20} {12}}) ^ {- 3} =\\(n ^ {\frac {5} {3}}) ^ {- 3} =

We multiply the exponents:

n ^ {\frac {-15} {3}} =\\n^{-5}

ANswer:

Option D

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