Year 12 maths · B.1 · Exponents
Exponent rules
Multiplying adds exponents, dividing subtracts them, a power of a power multiplies them.
See worked examples
Simplify (x⁶)⁵ to a single power of x. What is the exponent?
Answer: 30
Simplify (x⁶)⁶ to a single power of x. What is the exponent?
Answer: 36
Simplify x⁶ ÷ x⁹ to a single power of x. What is the exponent? (It can be negative.)
Answer: -3
Tip: Multiplying adds exponents, dividing subtracts them, a power of a power multiplies them.
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