UNIT 7 Powers, Exponentiation

7.1 Definition.

The power of a number shows you how many times to use the number in a multiplication.

a x a x a = a

a to the power of three   OR   a to the third power

a - base; 3 - power (index, exponent)


a squared -    a2

             a cubed -     a3

7.2 Calculations.

Any number to the zero power is 1:      a0 = 1

Zero to any number is 0:                      0x = 0

Whenever you multiply two terms with the same base, you can add the exponents: 

          ax x ay  = ax+y

To raise a power to a power, multiply the exponents: 

          (ax)y = axy