Question

If 72x is a perfect cube than x =

Answer 1

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in factorisation we find 3 comes twice so 3 is value of x.

Answer 2

Solution : -

72x = 1/3

x = 72 x 3

x = 216 ............( 6³ = 216 )

72 is the perfect cube of 3

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Other examples of perfect cube : -

1³ = 1 x 1 x 1 = 1

2³ = 2 x 2 x 2 = 4 x 2 = 8

3³ = 3 x 3 x 3 = 9 x 3 = 27

4³ = 4 x 4 x 4 = 16 x 4 = 64

5³ = 5 x 5 x 5 = 25 x 5 = 125

6³ = 6 x 6 x 6 = 36 x 6 = 216

7³ = 7 x 7 x 7 = 49 x 7 = 343

8³ = 8 x 8 x 8 = 64 x 8 = 512

9³ = 9 x 9 x 9 = 81 x 9 = 729

10³ = 10 x 10 x 10 = 100 x 10 = 1000