Question

what is the smallest number by which 2560 is to be multiplied 80 that the product is a perfect cube

Answer 1

Answer:

25

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Step-by-step explanation:

2560

= 2*2*2*320

=2^3 * 2*2*2* 40

= 2^3 * 2^3 * 2*2*2 * 5

= 2^3 * 2^3 * 2^3 * 5

= 8^3 * 5

to make it perfect cube

5 need to be multiplied with 5*5 = 25

8^3 * 5^3

= 40^3