exponents as a fraction

## What is 2 to the negative third power plus 2 to the negative second power?

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# 3 Answers

2^{-3} + 2^{-2} = 1/8 + 1/4 = 3/8 <==Answer

In this equation start from here

2^-3 is equal to 1/8

2^-2 is equal to 1/4

So in order to figure to this problem out you need to find the GCF or Greatest Common Factor between 1/8, 1/4 and so in this question it is 8 so.

1/8 + 1/4(2) = x

1/8 + 2/8 = x

3/8 = x

Your answer is 3/8.

Alexander and Robert have already showed how to find the answer, but I just wanted to add that a negative exponent can be written as a positive exponent by taking the reciprocal, ie:

a^{-x} = 1/a^{x}

so:

2^{-3} = 1/2^{3} = 1/8

and

2^{-2} = 1/2^{2} = 1/4