Math, asked by sahuradha31783, 8 months ago

find the smallest number by which the following number must be divided to make the quotients perfect cube 54​

Answers

Answered by insha56789
1

Answer:

54 = (2^1)(3^3)

We have to make all powers of the prime factors a multiple of 3 because:

(2^(3a))(3^(3b))

= [(2^a)(3^b)]^3

Which is a perfect cube.

Therefore we have to divide 54 by 2 to make the power of the ‘2’ be 0

So the answer is 2

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Answered by sadiaanazir6
2

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