New Zealand
Level 6 - NCEA Level 1

# Evaluate expressions with integer base and negative powers

## Interactive practice questions

Consider the expression $2^{-4}$24. Which of the following is it equivalent to?

$\frac{1}{2^4}$124

A

$\left(-2\right)^4$(2)4

B

$2^4$24

C

$2\times\left(-4\right)$2×(4)

D

$\frac{1}{2^4}$124

A

$\left(-2\right)^4$(2)4

B

$2^4$24

C

$2\times\left(-4\right)$2×(4)

D
Easy
Less than a minute

Evaluate $2^{-3}$23 by first expressing it with a positive index. Give your answer as a fraction.

Evaluate $8^{-2}$82 by first expressing it with a positive index. Give your answer as a fraction.

Evaluate $2^{-6}$26 by first expressing it with a positive index. Give your answer as a fraction.

### Outcomes

#### NA6-2

Extend powers to include integers and fractions.

#### 91026

Apply numeric reasoning in solving problems