Year 10 Powers Worksheets (GCSE) | Printable PDFs
Year 10 Powers worksheets for Year 10 Maths (Key Stage 4, GCSE). Year 10 students learn to work with powers and indices, including understanding positive, negative and zero powers. Using the laws of indices to simplify expressions and raising a power to another power.
Common index laws include am x aⁿ = am + n. For example 59 x 53 = 512. Another common law of indices is a0 = 1. For example 60 = 1. Another common law of indices a-n = 1/an. For example 2-3 = ⅛. For more basic powers worksheets see Year 9 Powers Worksheets.
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Powers Roots and Indices
For more Powers Worksheets, see Year 9 Powers Worksheets
Common Questions about Year 10 Powers
What is an index or power?
An index, or power, tells you how many times a number is multiplied by itself. For example, 2³ means 2 × 2 × 2.What is the relationship between powers and roots?
Roots are the inverse of powers. For example, the square root of 25 is 5 because 5² = 25.Why are the laws of indices useful?
The laws of indices allow you to simplify calculations involving powers, roots and algebraic expressions more efficiently.
Year 10 Powers Common Mistakes
Common Mistake 1
A common mistake is multiplying the base and the power, such as thinking 2³ means 2 × 3 instead of 2 × 2 × 2.Common Mistake 2
Students often confuse square roots and cube roots, especially when deciding which number has been multiplied by itself.Common Mistake 3
Another common mistake is applying the laws of indices incorrectly, such as adding powers when expressions are being added rather than multiplied.
Powers Worksheets - Free Worksheets Above
Powers Roots and Indices
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