What number raised to the 5th power equals 32?

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K_Marie Share
Nov 7, 2015

Answer:

#x# = 2

Explanation:

#x^5# = 32
#5sqrt(x^5)# = #5sqrt(32)#
#x# = 2

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Write your answer here...
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May 2, 2016

Answer:

#root(5)32 = 2#

#2^5= 32#

Explanation:

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 = #2^5#

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

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Nov 7, 2015

Answer:

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.

Explanation:

The question is: what number #x# equals #32# when it is taken to the fifth power, or symbolically,

#x^5=32#.

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

#x x^2 x^2 = 32#.

Obviously #1# isn't going to work, because the left hand side would be #1#. Don't even try #3#, because #3^2=9# and #9^2=81#. However:

#(2)(4)(4)=(2)(16)=32#.

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

#x=(32)^{\frac{1}{5}#.

Cheers!

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