Question

the value of 4 cube√1000 is​

Answer 1

Given data :   4 ∛1000

To find :  The simplified value of 4 ∛1000.

Solution :

Cubeth root gets cancelled by any cubeth value in it. As, the inner cube has the capability to strike off the outer cube which (∛  ) can be written as power(1/3)

4 ∛1000   =    4 ∛10³

                =    $4 * (10^{3}) ^\frac{1}{3}$      [∵  ∛x  = $x^\frac{1}{3}$ ]

                =    $4 * (10 ^\frac{3}{3})$        [∵  (xᵃ)ᵇ = xᵃᵇ]

                =    4 x 10¹

                =    4 x 10

                =     40

Therefore, The value of 4 ∛1000 is 40.

Learn more :

1. Evalute cubeth root of 9261

https://brainly.in/question/1185125

2. Log root5 to the base cubeth root 5​

https://brainly.in/question/13643344

Answer 2

Answer:

40.............answer