NZ Level 7 (NZC) Level 2 (NCEA)
Fractional powers with algebraic terms

## Interactive practice questions

Express $\sqrt{x}$x in index form.

Easy
Less than a minute

Simplify the following, giving your answer with a positive index: $\left(4a^4\right)^{\frac{1}{2}}$(4a4)12

Express $\sqrt[6]{x}$6x in index form.

Express $\sqrt[3]{x^6}$3x6 as a power of a power, then simplify.

### Outcomes

#### M7-6

Manipulate rational, exponential, and logarithmic algebraic expressions

#### 91261

Apply algebraic methods in solving problems