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There are two numbers whose 400th powers are equal to 9^1000. In other words, there are two numbers that can replace x in the equation

 

x^400 = 9^1000

 

making the equation true.

 

Find the smaller of the two numbers.

 May 9, 2020
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1000 / 400 =2.5

 

9^2.5 =243 =3^5.

 

So, you can write the first number as:(3^5)^400 = 9^1000 =3^2000 =3^2000

 May 9, 2020

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