Question

find the hcf of a and b where 72=2power a ×3power b
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Answer 1

Here

72 is equal to 2 power a x 3 power b

8 x 9 = 2 power a x 3 power b

2³ x 3² = 2 power a x 3 power b

Here 2³ = 2 power a

Cancel 2 both side

3 = a

Similarly

3² = 3 power b

Cancel 3 both side

b = 2

Therefore a is 3 and b is 2

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