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Tpy6a [65]
3 years ago
15

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

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

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]]



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