Question

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

Answer 1

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

the answer is D

Answer 2

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 $n^{-18}$