Whole Number Exponents with Integer Bases

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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 odd number of times.

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

Rules for whole number exponents with integer bases

whole number exponents with integer bases

Example: Solve (-4)3

(-4)3 = -4 × -4 × -4 = -64

Example: Solve (-3)4

(-3)4 = -3 × -3 × -3 × -3 = 81

Check Point

Simplify the following:

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

 

Download/Solve a Worksheet for Whole Number Exponents with Integer Bases