π
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E = mc²
y = mx+b
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About this video
Worked examples applying the exponent laws to simplify expressions — multiplying, dividing and raising powers to powers.
What it covers
- Multiplying powers (add exponents)
- Dividing powers (subtract exponents)
- Power of a power (multiply exponents)
- Negative and zero exponents
Extra worked examples
✍️ Extra example: simplify (x³ · x⁴) ⁄ x²
- 1Top: x³ · x⁴ = x⁷.Same base, so add exponents: 3 + 4 = 7.
- 2Divide: x⁷ ⁄ x² = x⁵.Same base, so subtract exponents: 7 − 2 = 5.
Exercises to try
Work each one out, then click to reveal the answer.
- 1Simplify a⁵ · a³.
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a⁸ - 2Simplify (y²)⁴.
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y⁸ - 3Simplify m⁶ ⁄ m⁶.
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m⁰ = 1
Practise this topic
Download matching Grade 9–10 papers and worksheets.
