SOLUTION: Simplify (x^5)^2 A.) x^10 B.) x^7 C.) 2x^5 D.) x^25 Thanks whoever helps me!by the way (this means ^ power of)

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Question 140849: Simplify (x^5)^2
A.) x^10
B.) x^7
C.) 2x^5
D.) x^25
Thanks whoever helps me!by the way (this means ^ power of)


Found 2 solutions by rapaljer, jim_thompson5910:
Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
When you raise a power to a power, you MULTIPLY the exponents! This would be x^10, the answer is A.

For more detailed explanation for the topic of LAWS of EXPONENTS, see my website, by clicking on my tutor name "rapaljer" anywhere in algebra.com, and look for my first link: "Basic, Intermediate, or College Algebra: One Step at a Time." Go to Basic Algebra, Chapter 2, Section 2.12 Laws of Exponents. I think you will find this a much simpler explanation than what they give you in the traditional textbooks.

R^2

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
There are two ways to do this



%28x%5E5%29%5E2+ Start with the given expression


%28x%5E5%29%28x%5E5%29+ Expand the expression. Remember, something like A%5E2=A%2AA


x%5E%285%2B5%29 Multiply the two expressions by adding the exponents


x%5E10 Add the exponents


So %28x%5E5%29%5E2=x%5E10+



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Or...




%28x%5E5%29%5E2+ Start with the given expression



x%5E%285%2A2%29 Multiply the outer exponent with the inner exponent. Remember %28x%5Ey%29%5Ez=x%5E%28y%2Az%29


x%5E%2810%29 Multiply


So %28x%5E5%29%5E2=x%5E10+. Either way, we get the same answer.