Algebra and proofAdditional / Further Maths

Combining index laws

Simplify powers, coefficients and fractions in a sensible order.

  • Deal with powers outside brackets first.
  • Simplify the numerical coefficient. Then combine powers of each letter.
  • Write the final result with positive exponents.

Example

One stage at a time

Simplify the expression.

Your turn

Question 1

Simplify using positive exponents. Assume the variables are non-zero.

Check answer
Question 2

Simplify using positive exponents. Assume the variables are non-zero.

Check answer
Question 3

Simplify using positive exponents. Assume the variables are non-zero.

Check answer
Question 4

Simplify using positive exponents. Assume the variables are non-zero.

Check answer
Question 5

Simplify using positive exponents. Assume the variables are non-zero.

Check answer