A number multiplied by itself and then by itself again gives 1000. What is the number?
2 answers:
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.
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}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20x%5E%7B3%7D%20%7D%20%3D%20%20%5Csqrt%5B3%5D%7B1000%7D%20)
![\sqrt[3]{ x^{3} } = \sqrt[3]{ 10^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20x%5E%7B3%7D%20%7D%20%3D%20%20%5Csqrt%5B3%5D%7B%2010%5E%7B3%7D%20%7D%20)
The cube cancels the cube root sign, so,
x = 10
So, the number is 10
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