New Zealand
Level 6 - NCEA Level 1

# Further expressions involving division law with variable bases

## Interactive practice questions

Simplify the following, giving your answer in index form:

$\frac{u^{13}}{u^2}$u13u2

Easy
Less than a minute

Simplify the following, giving your answer in index form:

$a^5\div a^3$a5÷​a3

Convert the following to a fraction and simplify using the Index Laws: $x^9\div\left(3x\right)^2$x9÷​(3x)2

Simplify the following, giving your answer in index form:

$\frac{t^7r^8}{t^5r^4}$t7r8t5r4

### Outcomes

#### NA6-2

Extend powers to include integers and fractions.

#### 91026

Apply numeric reasoning in solving problems