1. Lesson 1.4 Working With Exponents
Unit 1
Lesson 1.4
Working With Exponents

2. Product of Powers
To multiply powers when the bases are the same, add the exponents.
an • am = an+m
Example, 54 • 53
=57

3. Quotient of Powers
To divide powers when the bases are the same, subtract the exponents.
an ÷ am = an-m
Example, 54 ÷ 53
= 51
= 5

4. Power of a Power
To evaluate a power of a power, multiply the exponents.
( x a)b = x ab
Example, (23)2 = (23) (23)
= 23 x 2
= 26
= 64

5. Power of a Product
To evaluate a power of a product, every part of the product should be raised to the exponent.
( xy )m = (xm ) (ym)
Example, ( 4xy )3
= 43x3y3
= 64x3y3

6. Power of a Quotient
To evaluate the power of a quotient, raise the numerator and the denominator to the exponent.
Example:

7. You try these using our rules…
( 12x3)2
24 ÷ 23
54 • 53