Printable · GCSE Higher · ages 14-16
Calculating with roots and indices worksheet — GCSE Higher
Fifteen questions on "calculating with roots and indices" — DfE statement N7. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
part Higher
Calculating with roots and indices worksheet — GCSE Higher
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- 1.Write ∛(x²) as a single power of x.
- 2.Simplify 2³ × 2⁴, giving your answer as a single power of 2.
- 3.Work out the value of .
- 4.Work out the value of .
- 5.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.
- 6.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
- 7.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.
- 8.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 9.Simplify x⁶ ÷ x²
- 10.Work out the value of .
- 11.Simplify (y³)⁴, giving your answer as a single power of y.
- 12.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 13.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 14.Work out the value of 2⁻²
- 15.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
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