Question

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

a) 3^-2
b)4^-3
c)2^-6

Answer 1

(a)
`3^(-2)=(1)/(9)`

(b)
`4^(-3)=(1)/(64)`

(c)
`2^(-6)=(1)/(64)`

Explanation:

To find the exact value in fractions of the followings:

Exponents also called powers its a way of expressing a number multiplied by itself by a certain number of times.

Using
`a^(-m)= (1)/(a^m)` .......[1]

(a)

Fraction represents a part of a whole or more generally, any number of equal parts.

`3^(-2)` =
`(1)/(3^2)=(1)/(3* 3)=(1)/(9)` [ Using [1]]

(b)

`4^(-3)` =
`(1)/(4^3) =(1)/(4* 4* 4)=(1)/(64)` [ Using [1]]

(c)

`2^(-6)` =
`(1)/(2^6) =(1)/(2* 2* 2* 2* 2* 2)=(1)/(64)` [ Using [1]]