# What number raised to the 5th power equals 32?

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In questions dealing with indices, powers, roots of numbers, it is always useful to express a number as the product of its prime factors. If you know what a number is made up of, you know everything there is to know!

32 = 2x2x2x2x2 =

It will be to your advantage to learn all the powers up to 1000.

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If you're totally forbidden from using a calculator, you can write it out algebraically and try out some integers that seem like they may work.

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The question is: what number

You can make it easier to check out some values in your head if you break up the left hand side:

Obviously

Bingo! Of course if you can use a calculator, take the fifth root of both sides:

Cheers!

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