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Dafna11 [192]
3 years ago
15

Which expression can be simplified as 1/n^18

Mathematics
2 answers:
lukranit [14]3 years ago
6 0
(n^-3)^6=n^-18=1/n^18

the answer is D
Flura [38]3 years ago
4 0

Answer:

Option D is correct.

(n^{-3})^{6}   can be simplified as 1/n^18

Step-by-step explanation:

Using exponent rules:

(a^n)^m = a^{nm}

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

Given the expression:

\frac{1}{n^{18}}

Apply the exponent rules:

⇒n^{-18}

A.

(n^2)^9

⇒n^{2 \cdot 9} = n^{18}

B.

(n^(-9))^(-2)

⇒n^{-2 \cdot -9} = n^{18}

C.

(n^{-6})^{-3}

⇒n^{-6 \cdot -3} = n^{18}

D.

(n^{-3})^{6}

⇒n^{-3 \cdot 6} = n^{-18}

Therefore, (n^{-3})^{6} expression can be simplified as n^{-18}

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