Indices

Simplifying indices

The two basic laws of indices are:

Try to use these to work through the example questions below.

Question

Simplify

Use the multiplication law. This tells you to add the indices.

Question

Simplify

This could also have been written as:

Use the division law which tells you to subtract the indices.

Question

Simplify

Use the multiplication law, add the numerator indices.

Use the division law, subtract the indices.

Question

Simplify

Remember

Question

Simplify

This shows that