NZ Level 7 (NZC) Level 2 (NCEA)
Division law with variable bases and negative powers

## Interactive practice questions

Simplify the following, giving your answer with a positive index: $\frac{12x^3}{4x^7}$12x34x7

Easy
Less than a minute

Express the following fraction as a product containing negative indices: $\frac{m}{n^4}$mn4

Express the fraction $\frac{4}{n^2}$4n2 as a product containing negative indices.

Assuming that $w$w is non-zero, simplify $\frac{1}{w^{-7}}$1w7 using positive indices.

### Outcomes

#### M7-6

Manipulate rational, exponential, and logarithmic algebraic expressions

#### 91261

Apply algebraic methods in solving problems