Music1031id
Answered

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

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Waterbugzid
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.
Rabinshrestha41id
Let, 
the number be "x"
According to the question,
x * x* x = 1000
x³ = 1000

Cube-rooting on both sides

[tex] \sqrt[3]{ x^{3} } = \sqrt[3]{1000} [/tex]

[tex] \sqrt[3]{ x^{3} } = \sqrt[3]{ 10^{3} } [/tex]

The cube cancels the cube root sign, so,

x = 10

So, the number is 10

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