Free Maths Calculator

Powers and Roots Calculator

Raise any number to a power, or take square and cube roots, with the meaning spelled out: powers as repeated multiplication, negative powers as one over, and roots checked against their perfect squares and cubes. Square roots that are not whole simplify into exact surds before the decimal is given.

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Method, Step by Step

    Worked Example

    Work out 3⁴.

    1. 3⁴ means four copies of 3 multiplied together: 3 × 3 × 3 × 3
    2. Multiply up in stages:3 × 3 = 9, then 9 × 3 = 27, then 27 × 3 = 81
    3. So 3⁴ = 81

    Answer: 81

    Try These Yourself

    Work out 2⁵.Show answerHide answer

    Answer: 32

    2 × 2 × 2 × 2 × 2 = 32.

    Work out √81.Show answerHide answer

    Answer: 9

    9 × 9 = 81.

    Simplify √48.Show answerHide answer

    Answer: 4√3

    48 = 16 × 3, so √48 = √16 × √3 = 4√3.