Question

Write each fraction as an expression using a negative exponent other than -1. 3. 1 ___________ 4 24. 1 ___________ 100

Answer 1

`(1)/(4) = 2^(-2)`

`(1)/(100) = 10^(-2)`

Explanation:

The question is poorly formatted. However, I am able to get:

1. 1/4 and 2. 1/100

Required

Write as an expression of negative expression

1. 1/4.

Express 4 as 2^2

`(1)/(4) = (1)/(2^2)`

Apply

law of indices
`((1)/(a^b) = a^(-b))`

`(1)/(4) = 2^(-2)`

2. 1/100.

Express 100 as 4^2

`(1)/(100) = (1)/(10^2)`

Apply law of indices
`((1)/(a^b) = a^(-b))`

`(1)/(100) = 10^(-2)`