# Multiplication law with variable bases

## Interactive practice questions

Simplify the following, giving your answer with a positive exponent: $2^2\times2^2$22×22

Easy
Less than a minute

Simplify the following, giving your answer in exponential form: $3^9\times3^{10}$39×310.

We want to simplify the expression $a^2\times a^3$a2×a3.

What term should go in the space to make the statement true?

$a^3\times?=a^7$a3×?=a7

### Outcomes

#### 9D.NA1.03

Derive, through the investigation and examination of patterns, the exponent rules for multiplying and dividing monomials, and apply these rules in expressions involving one and two variables with positive exponents