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Year 7 maths · P.3 · Exponents and Order of Operations

Write a power as repeated multiplication

A power is repeated multiplication: x³ means x · x · x. Think of each power as a row of x's, then count how many x's are left.

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  1. Simplify (x⁶)² to a single power of x. What is the exponent?

    Answer: 12

  2. Simplify x⁴ · x² to a single power of x. What is the exponent?

    Answer: 6

  3. Simplify x⁵ ÷ x⁸ to a single power of x. What is the exponent? (It can be negative.)

    Answer: -3

Tip: A power is repeated multiplication: x³ means x · x · x. Think of each power as a row of x's, then count how many x's are left.

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