Question

If cube root of - 0.512÷x = cube root of 1000000 then find the value of x.

Answer 1

According to question...

३√{-0.512}/x =३√1000000
or
३√{-0.8^3}/x =३√{100^3}
or
-0.8/x=100
or
x=-0.8/100
x=-0.008

Answer 2

Concept:

Cube Root:  Cube root is the number that produces the given number when cubed or multiplied three times. For example, we get 8 by multiplying 2 thrice.

2×2×2 = 8

∴ 2 is the cube root of 8.

Given:

(∛-0.512)÷x = ∛1000000

Find:

The value of x.

Answer:

The value of x is -0.8/100 or -0.008.

Solution:

Given that,

(∛-0.512)÷x = ∛1000000

Cubing both sides, we get

[(∛-0.512)÷x]³ = [∛1000000]³

(-0.512÷x³) = 1000000

-0.512/x³ = 1000000

1000000 x³ = -0.512

x³ = -0.512/1000000

x = ∛(-0.512/1000000)

x = ∛(-0.8×-0.8×-0.8)/(100×100×100)

x = ∛[(-0.8)³/(100)³

x = -0.8/100

x = -0.008

Hence, the value of x is -0.8/100 or -0.008.

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