Review question

# Can we simplify these expressions involving indices? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8779

## Suggestion

Given that $p=24$ and $q=-16$, simplify

1. $\dfrac{x^px^q}{x^7}$,

2. $(x^2)^p(x^3)^q$.

Notice that all the powers in these expressions have the same base, namely $x$. How do we combine powers when multiplying, dividing, etc?