Question

While expressing $\frac{1}{8}$ in exponential form, the base is and the exponent is .

• A. 2
• B. -2
• C. 3
• D. -3

Answer 1

Answer: (A), (D)

-3

8 in the exponential form can be represented as $2^3$.
Since $a^{-m}=\frac{1}{a^m}$ for a non-zero integer $a$, and any integer $m,$ we have
$\frac{1}{8}=\frac{1}{2^3}=2^{-3}$
Therefore, while expressing $\frac{1}{8}$ in exponential form, the base will be $2$ and $-3$ will be the exponent.