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

`((1)/(7))^(-6)`

Step-by-step explanation

Step 1

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

6th power means the number multiplied by itself 6 time

`((1)/(7))\cdot((1)/(7))\cdot((1)/(7))\cdot((1)/(7))\cdot((1)/(7))\cdot((1)/(7))=((1)/(7))^6`

Step 2

with a negative exponent

the exponent is 6 , so

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