Question

A number multiplied by itself and then by itself again gives 1000. What is the number?

Answer 1

It is 10 because 10 to the 3rd power or 10 cubed or 10 x 10 x 10 is equal to 1,000. 10 x 10 = 100 and 100 x 10 = 1,000.

Answer 2

Let, 
the number be "x"
According to the question,
x * x* x = 1000
x³ = 1000

Cube-rooting on both sides

$\sqrt[3]{ x^{3} } = \sqrt[3]{1000}$

$\sqrt[3]{ x^{3} } = \sqrt[3]{ 10^{3} }$

The cube cancels the cube root sign, so,

x = 10

So, the number is 10