document.write( "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?
\n" ); document.write( "There are two solutions to this. I only have one.Please help me find the second one! THANKS IN ADVANCE!
\n" ); document.write( "(x^5)^10 = x^50
\n" ); document.write( "x^50 = 10^100
\n" ); document.write( "x = 10^2
\n" ); document.write( "x = 100 \r
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Algebra.Com's Answer #71694 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28x%5E5%29%5E10=10%5E100\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E50+=+10%5E100\" Distribute and multiply the exponents.\r
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\n" ); document.write( "\n" ); document.write( "\"root%2850%2Cx%5E50%29+=+root%2850%2C10%5E100%29\" Take the 50th root (it's like the square root) of both sides\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+root%2850%2C10%5E100%29\" The left side is now x\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%2810%5E100%29%5E%281%2F50%29\" Rewrite \"root%2850%2C10%5E100%29\" as \"%2810%5E100%29%5E%281%2F50%29\"\r
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\n" ); document.write( "\n" ); document.write( "Distribute and multiply the exponents. Remember, when taking the even root (such as a square root) there is a positive and negative answer\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%2810%29%5E%28100%2F50%29\" or \"x+=+-%2810%29%5E%28100%2F50%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+10%5E2\" or \"x+=+-10%5E2\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+100\" or \"x=-100\" Square 10 to get 100\r
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\n" ); document.write( "\n" ); document.write( "So the answers are \"x+=+100\" or \"x=-100\"
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