Indices

Index notation with variable bases

Zero power with variable bases

Multiplication law with variable bases

Further expressions involving multiplication law with variable bases

Division law with variable bases

Further expressions involving division law with variable bases

Power of a power 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

Mixed expressions using index laws

Index notation with variable bases and negative powers

Multiplication law with variable bases and negative powers

Division law with variable bases and negative powers

Power of a power with variable bases and negative powers

Products and quotients with variable bases and negative indices

Stage 1 - Stage 3

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

Interactive practice questions

Evaluate $5^{-3}$5−3 .

Easy

< 1min

Evaluate $8^0\div4^{-3}$80÷4−3 without the use of a calculator.

Easy

1min

Evaluate $5\times4^{-2}+9^0$5×4−2+90 without the use of a calculator.

Easy

1min

Evaluate $3^{-4}+3^{-1}$3−4+3−1 by using index laws, giving your answer as a simplified fraction.

Easy

1min

What is Mathspace

About Mathspace