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

exponents as a fraction

### 3 Answers by Expert Tutors

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
2

2-3 + 2-2 = 1/8 + 1/4 = 3/8 <==Answer

Alexander J. | Tutor For All AgesTutor For All Ages
4.6 4.6 (7 lesson ratings) (7)
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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

Daniel O. | Math and Physics Tutor, with a math and physics degreeMath and Physics Tutor, with a math and ...
5.0 5.0 (265 lesson ratings) (265)
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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/ax

so:

2-3 = 1/23 = 1/8

and

2-2 = 1/22 = 1/4