Question

find the exact values of the following,giving your answers as fractions
a) 3^-2
b)4^-3
c)2^-6

Answer 1

Answer:

(a) $3^{-2}=\frac{1}{9}$

(b) $4^{-3}=\frac{1}{64}$

(c) $2^{-6}=\frac{1}{64}$

Step-by-step 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 $a^{-m}= \frac{1}{a^m}$                   .......[1]

(a)

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

$3^{-2}$ = $\frac{1}{3^2}=\frac{1}{3\times 3}=\frac{1}{9}$         [ Using [1]]

(b)

$4^{-3}$ = $\frac{1}{4^3} =\frac{1}{4\times 4\times 4}=\frac{1}{64}$          [ Using [1]]

(c)

$2^{-6}$ = $\frac{1}{2^6} =\frac{1}{2\times 2\times 2\times 2\times 2\times 2}=\frac{1}{64}$          [ Using [1]]