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# Whole Number Exponents with Integer Bases

If b is an integer, and x is a whole number, then

bx = b . b . b . b …… b.

b appears as a factor x times

#### Can the base of an exponent be negative?

The base of an exponent may be negative also. If the exponent is an even integer with a negative base, then the resulting value will be positive as it gets multiplied even number of times.

If the exponent is an odd integer with a negative base, then the resulting value will be negative as it gets multiplied an odd number of times.

Let’s see the rules for whole-number exponents with integer bases.

Rules for whole number exponents with integer bases

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Example: Solve (-4)3

(-4)3 = -4 × -4 × -4 = -64

Example: Solve (-3)4

(-3)4 = -3 × -3 × -3 × -3 = 81

1. (2)5
2. (-5)4
3. (4)5
4. (-7)3
5. (-9)4
1. 32
2. 625
3. 1024
4. -343
5. -6561

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