Question

The value of $5^{-5}=$ ____.

• A. $\frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}$
• B. $\frac{1}{5^5}$
• C. $\frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}$
• D. $\frac{1}{5^{-5}}$

Answer 1

Answer: (B), (C)

The correct options are
B $\frac{1}{5^5}$
C $\frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}$

$\because a^{-n}=\frac{1}{n}$
Hence, we can write $5^{-5}$ as
$=\frac{1}{5^5}=\frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}\times \frac{1}{5}$