Question

find the cube root of 16/54
$16 \div 54 {?}^{ 3}$

Answer 1

Hey friend! Here is your answer.

Cube root of 16/54

3√16/54

3√2×2×2×2/2×3×3×3

3√2×2×2/3×3×3

2/3

Answer 2

Answer:

2/3

Step-by-step explanation:

We have to find the cube root of 16/54.

In other word, we have to find $\sqrt[3]{\frac{16}{54}}$

Let us write both the numbers in perfect cube form so that we can cancel out the cube root with the cube.

16 = 2×2×2×2 = 2^3×2

54 = 2×3×3×3=3^3×2

Thus, we have

$\sqrt[3]{\frac{2^3\times2}{3^3\times2}}\\\\\\\frac{2}{3}\sqrt[3]{\frac{2}{2}}\\\\=\frac{2}{3}$