Question

Which value of b solves the equation? b^-3 = 1/216 A. –6 B. 6 C. 36 D. 72

Answer 1

Answer:

B. 6

Step-by-step explanation:

$\text{use}\\\\a^{-n}=\dfrac{1}{a^n}\\\\==========================\\\\b^{-3}=\dfrac{1}{216}\\\\\dfrac{1}{b^3}=\dfrac{1}{216}\qquad\text{inverse both sides}\\\\b^2=216\to b=\sqrt[3]{216}\\\\b=6\ \text{because}\ 6^3=216$

Answer 2

The answer to the question