Question

Write 1/7to the 6th poweras anexpression with a negative exponent.write 1/7to the 6th power as an expression with a negative exponent

Answer 1

$(\frac{1}{7})^{-6}$

Explanation

Step 1

Write 1/7to the 6th power, it is

6th power means the number multiplied by itself 6 time

$(\frac{1}{7})\cdot(\frac{1}{7})\cdot(\frac{1}{7})\cdot(\frac{1}{7})\cdot(\frac{1}{7})\cdot(\frac{1}{7})=(\frac{1}{7})^6$

Step 2

with a negative exponent

the exponent is 6 , so

$\begin{gathered} 6\leftrightarrow-6 \\ \text{then} \\ (\frac{1}{7})^{-6} \\ \end{gathered}$