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Year 7 maths · P.4 · Exponents and Order of Operations

Evaluate powers of whole numbers

An exponent counts how many times a number is multiplied by itself. Use that to find the exponent of the single power.

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  1. Simplify x⁴ ÷ x⁹ to a single power of x. What is the exponent? (It can be negative.)

    Answer: -5

  2. Simplify x³ ÷ x³ to a single power of x. What is the exponent?

    Answer: 0

  3. Simplify x⁸ · x² to a single power of x. What is the exponent?

    Answer: 10

Tip: An exponent counts how many times a number is multiplied by itself. Use that to find the exponent of the single power.

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