Question

evaluate this (81*576)1/3

Answer 1

(81*576)/3

(27*576)

15,552

Other method,

(3⁴ * 24²)/3¹

(3³24²) =answer


I hope this much will help you

Answer 2

$(81\times 576)^{\dfrac{1}{3}}$ = 36

Step-by-step explanation:

We have,

$(81\times 576)^{\dfrac{1}{3}}$

To find, $(81\times 576)^{\dfrac{1}{3}}$ = ?

∴ $(81\times 576)^{\dfrac{1}{3}}$

= $\sqrt[3]{81\times 576}$

81 = 3 × 3 × 3 × 3 and

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

= $\sqrt[3]{3 \times 3 \times 3 \times 3\times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3}$

= $\sqrt[3]{3 \times 3 \times 3 \times 3\times 3 \times 3\times 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

= 3 × 3 × 2 × 2

= 36

∴ $(81\times 576)^{\dfrac{1}{3}}$ = 36

Thus, the value of $(81\times 576)^{\dfrac{1}{3}}$ is equal to 36.