Question

Write the fraction as an expression using a negative exponent other than -1.

1/15^6
A. (1/15)^-6
B. 15^-6
C. 0.15^-6
D. -15^-6

Answer 1

The fraction as an expression using a negative exponent other than -1.

`(1)/(15^(6))` is
`15^(-6)` . correct option B.

Explanation:

We have the following steps to write the fraction as an expression using a negative exponent other than -1
`(1)/(15^(6))` .

⇒
`(1)/(15^(6))`

⇒
`((1)^(6))/((15)^(6))`

⇒
`((1)/(15))^(6)`

⇒
`((1)/(15))^(6) ((15)/(15))^(-6)`

⇒
`(((15)^(-6))/((15)^(6-6)))`

⇒
`(15^(-6))/(15^(0))`

⇒
`((15)^(-6))/(1)`

⇒
`15^(-6)`

∴ The fraction as an expression using a negative exponent other than -1.

`(1)/(15^(6))` is
`15^(-6)` .