# Combining the exponent rules

### Combining the exponent rules

We have now learned all individual exponent rules in the previous sessions. In this session, we will try to use different exponent rules to solve problems.

#### Lessons

• Introduction
What are exponent rules?

• 1.
Simplify the following and write the answer with positive exponents
a)
$(\frac{(-16a^5b^{-3}) (3a^3b^5)}{2a^2b^{-2}} {)^3}$

b)
$( \frac{(x^{3y+5}) (x^{4y-2})}{x^{y+3}} )$

c)
$(-3{x^5}{y^4}{z^9}{)^{-3}} (-5 {x^4}{y^{-3}}{z^{11}}{)^4}$