Question

The value of 4 X cube root of 1000 is:

Answer 1

Answer:

40

Step-by-step explanation:

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}4∗(103)31      [∵  ∛x  = x^\frac{1}{3}x31 ]

                =    4 * (10 ^\frac{3}{3})4∗(1033)        [∵  (xᵃ)ᵇ = xᵃᵇ]

                =    4 x 10¹

                =    4 x 10

                =     40

Therefore, The value of 4 ∛1000 is 40.