If by "cube of 15625," you mean 156253, then you would multiply 15625*15625*15625.
If you have to do this by hand, then first multiply 15625*15625, and then multiply the product of that by 15625 again. Follow the multi-digit multiplication rules, look it up if you don't know them.
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Use a ruler
1.99916632 Use a calculator.
Many calculators will offer a way for you to do cube roots, or what number to the power of 3 will equal that number. There is no easy way to go about finding cube roots without a calculator, so I suggest not trying too hard.. but the cube root of 7 is 1.912931182772389 found from using a simple Cube Root calculator you can find on the internet.
2.7589.... If you don't have cube roots on your calculator, find the logarithm of 21, divide it by 3, and find the antilog of that.