Question

By what number should 17496 be divided to obtain a perfect cube​

Answer 1

Answer:

Given and Find:

• By what number should 17496 be divided to obtain a perfect cube.

Calculations:

The number should be divided by the number 3.

⇢ 17,496 ÷ 3

⇢ 5,832

We know that = 17,496 = 3^7 × 2^3

That's,

⇢ 3^7 = (3 × 3 × 3 × 3 × 3 × 3 × 3 = 2187).

⇢ 2^3 = (2 × 2 × 2 = 8).

⇢ 3^7 × 2^3 = (2187 × 8)

⇢ 17,496

⇢ 3 × 3 × 2

⇢ 18

Refer the attachment for the calculations.