Multiplication and Division Properties of Exponents - Concept

Concept Concept (1)

There are different rules to follow when multiplying exponents and when dividing exponents. If we are multiplying similar bases, we simply add the exponents. If we are dividing, we simply subtract the exponents. If an exponent is outside the parentheses, it is distributed to the inside terms. It's important to understand the rules of multiplying exponents so that we can simplify expressions with exponents.

Sample Sample Problems (3)

Need help with "Multiplication and Division Properties of Exponents" problems? Watch expert teachers solve similar problems to develop your skills.

Multiplication and Division Properties of Exponents - Problem 1

Simplify:

a) 15³ ⋅ 15²
b) (15³)²
c) x² ⋅ x⁵
d) (x²)⁵
Problem 1
How to simplify products using exponents when they have the same base.
Multiplication and Division Properties of Exponents - Problem 2

Simplify:

a) (x³)²x⁴
b) x³
Problem 2
How to simplify products using exponents when the base is a variable.
Multiplication and Division Properties of Exponents - Problem 3

Simplify:

3²(3x)³
3x⁵
Problem 3
How to simplify fractions that involve exponents and bases that are both integers and variables.