Algebra and proofAdditional / Further Maths

Powers of products and quotients

Powers of products and quotients.

  • Use .
  • Apply the exponent to every factor, including the coefficient.
  • For a fraction, apply it to both numerator and denominator.

Example 1

Apply the rule

Simplify the expression.

Example 2

Fully simplify the expression.

Your turn

Question 1

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
Question 2

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
Question 3

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
Question 4

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
Question 5

Simplify using positive exponents. Assume any denominator is non-zero.

Check answer
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