SOLUTION: A googl is 10 to the 100th power (which is 1 followed by 100 zeros). So, if googl =(x^5)^10 then what is the value of x? There are two solutions to this. I only have one.Please he

Question 98535: A googl is 10 to the 100th power (which is 1 followed by 100 zeros). So, if googl =(x^5)^10 then what is the value of x?
There are two solutions to this. I only have one.Please help me find the second one! THANKS IN ADVANCE!
(x^5)^10 = x^50
x^50 = 10^100
x = 10^2
x = 100

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Distribute and multiply the exponents.

Take the 50th root (it's like the square root) of both sides

The left side is now x

Rewrite as

Distribute and multiply the exponents. Remember, when taking the even root (such as a square root) there is a positive and negative answer
or

or Reduce

or Square 10 to get 100

So the answers are or
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