Laws of indices
Grade 8: index notation, multiply powers: add the indices, divide powers: subtract the indices, any number to the power 0 is 1, powers of 10.
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Questions
What is 2³ written out as a number?
- 5
- 6
- 8
- 9
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8In the expression 5⁴, what is the index?
- 20
- 4
- 5
- 9
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4Which is the same as 3 × 3 × 3 × 3 × 3?
- 15
- 3 × 5
- 3⁵
- 5³
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3⁵Simplify a³ × a⁴.
- 2a⁷
- a
- a¹²
- a⁷
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a⁷Simplify 2⁵ × 2².
- 2¹⁰
- 2⁷
- 4¹⁰
- 4⁷
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2⁷Simplify x⁹ ÷ x⁶.
- x³
- x¹⁵
- x⁵⁴
- x⁶
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x³Simplify 7⁸ ÷ 7³.
- 1⁵
- 7²⁴
- 7¹¹
- 7⁵
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7⁵What is the value of 9⁰?
- 0
- 1
- 9
- 90
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1What is 10⁴ written as a number?
- 10 000
- 100 000
- 1000
- 40
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10 000Simplify 3y² × 4y³.
- 12y⁵
- 12y⁶
- 7y⁵
- 7y⁶
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12y⁵5² × 5³ = 5⁵ (True or false?)
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TrueAny number raised to the power 0 equals 0. (True or false?)
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False10⁶ is the number one million. (True or false?)
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TrueSimplify m⁷ ÷ m². Give your answer as a power of m. (Answer out loud)
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m⁵What is the value of 2⁴ × 2⁰? (Answer out loud)
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16Write 3 000 as a number multiplied by a power of 10. (Answer out loud)
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3 × 10³
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