Question

Which value of b solves the equation?

b^-3 = 1/216

A. –6 B. 6 C. 36 D. 72

Answer 1

the answer to the question

Answer 2

B. 6

Explanation:

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