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3 votes
Which expression can be simplified as 1/n^18

A. (n^2)^9
B. (n^-9)^-2
C. (n^-6)^-3
D. (n^-3)^6

User Joakim Syk
by
7.7k points

2 Answers

7 votes
(n^-3)^6=n^-18=1/n^18

the answer is D
User Mrousavy
by
8.6k points
3 votes

Answer:

Option D is correct.


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

Explanation:

Using exponent rules:


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


(1)/(a^n) = a^(-n)

Given the expression:


(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)

User Matt Liberty
by
8.0k points

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