Question

Find cube root of −4096 1331​

Answer 1

The cube root of 4096 is the number which when multiplied by itself three times gives the product as 4096. Since 4096 can be expressed as 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 4096 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2) = 16.

Answer 2

1331 = 11*11*11

4096 = 2*2*2*2*2*2*2*2*2*2*2*2

Therefore,

1331/4096 = (11)^3 /(2)^12

cube root of 1331/4096

= [(11)^3 /(2)^12]^1/3

= 11/(2)^4

= 11/16