### 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 Problems (5)

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

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.

Simplify:

a) (x³)²x⁴
b) x³
###### Problem 2
How to simplify products using exponents when the base is a variable.

Simplify:

3²(3x)³
3x⁵
###### Problem 3
How to simplify fractions that involve exponents and bases that are both integers and variables.
###### Problem 4
Multiplication of exponential expressions and applying exponent rules.
###### Problem 5
Using exponent rules to "fill in the blanks" of exponential equations.