Properties of Exponents

Examples

Example 1

Simplify

Solution		Here is another way to simplify
Use the Division Property of Exponents of Exponents.	= (32-5 · y8)2
Simplify.	= (3-3 · y8)2
Use the Power of a Power Property of Exponents.	= 3-3·2 y8·2
Simplify.	= 3-6 y16
Use the definitiion of a negative exponent.
Multiply.
Simplify 36.
Thus, the result is

Example 2

Simplify:

Solution
Use the Power of a Power Property of Exponents.
Simplify.
Use the Multiplication Property of Exponents.
Use the Division Property of Exponents.	= x6-14 y8-8
Simplify.	= x-8 y0
Use the definition of a zero exponent.	= x-8 · 1
Use the definition of a negative exponent.
Thus, the result is .