Fractional Indices Flashcards

GCSE Mathematics (Edexcel) 1MA1

Fractional indices

Indices (or powers) that are fractions, such as 1/2 or 3/4, representing roots or combinations of roots and powers.

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Terms in this set (10)

1

Fractional indices

Indices (or powers) that are fractions, such as 1/2 or 3/4, representing roots or combinations of roots and powers.

2

x^(1/2)

The square root of x, written as √x.

3

x^(1/3)

The cube root of x, written as ∛x.

4

x^(m/n)

The nth root of x raised to the power of m, written as (n√x)^m or (x^(1/n))^m.

5

Simplify x^(3/2)

x^(3/2) = (√x)^3 or (x^3)^(1/2).

6

Simplify 16^(1/2)

16^(1/2) = √16 = 4.

7

Simplify 27^(1/3)

27^(1/3) = ∛27 = 3.

8

Simplify 64^(2/3)

64^(2/3) = (∛64)^2 = 4^2 = 16.

9

Simplify 81^(3/4)

81^(3/4) = (∜81)^3 = 3^3 = 27.

10

Key rule for fractional indices

x^(m/n) = (n√x)^m or (x^m)^(1/n).

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