Indices

Index notation with variable bases

Zero power with variable bases

Multiplication law with variable bases

Division law with variable bases

Power of a power with variable bases

Further expressions involving multiplication law with variable bases

Further expressions involving division law with variable bases

Simplify expressions using multiple index laws with variable bases

Manipulate single terms that involve negative powers

Evaluate expressions with integer base and negative powers

Multiplication and division law for integer base and negative powers

Power of a power with integer bases and negative powers

Simplify expressions using multiple index laws with integer base and negative powers

Exploring Indices Visually (Investigation)

Scientific notation calculations using index laws

Numerical bases with fractional powers

Evaluate expressions involving powers

Level 6 - NCEA Level 1

Manipulate single terms that involve negative powers

Interactive practice questions

State the base for the expression $4^{-3}$4−3.

Easy

< 1min

Identify the power for the expression $10^{-8}$10−8.

Easy

< 1min

We want to evaluate $10^3\div10^4$103÷104 by first evaluating each term in the quotient separately.

Easy

1min

We want to evaluate $\frac{5^3}{5^5}$5355 using repeated multiplication to simplify the fraction.

Easy

3min

Outcomes

NA6-2

Extend powers to include integers and fractions.

91026

Apply numeric reasoning in solving problems

What is Mathspace

About Mathspace