Exponents can be represented as positive integers, negative integers, or zero.
See Exponent Basics for more information on positive integer exponents (or zero).

Negative Integer Exponents



The use of a negative integer exponent has special meaning and a rule explaining its use.basepic

rule
For any non-zero number x, and for any positive integer n,
negrule

The use of a positive exponent is an application of repeated multiplication by the base:
43 = 4 • 4 • 4 = 64.
The use of a negative exponent produces the opposite of repeated multiplication.
It can be thought of as a form of repeated division by the base:
4-3 = 1 ÷ 4 ÷ 4 ÷ 4 = 0.015625
meg10
neg8

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Examples:

1.  neg1     Notice: xxmaking x-1 the reciprocal of x.
2.  neg2
3.  neg3
4.  neg4
5. neg5
6.  neg6
7.  neg7

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For calculator help with exponents
click here.

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