Question

Find the exact values of the following, giving your answers as fractions.

a) 4^-1
b) 2^-3
c) 3^-4

Answer 1

see explanation

Explanation:

Using the rule of exponents

`a^(-m)` =
`(1)/(a^(m) )`, then

(a)

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

(b)

`2^(-3)` =
`(1)/(2^(3) )` =
`(1)/(8)`

(c)

`3^(-4)` =
`(1)/(3^(4) )` =
`(1)/(81)`

Answer 2

-4 -8 -81. Sorry if any are wrong