SOLUTION: evaluate 5^2 over 5^5

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Question 183050This question is from textbook Algebra 2
: evaluate 5^2 over 5^5 This question is from textbook Algebra 2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Here's the long way to do it:


Start with the given expression.


Expand to get


Expand to get (note: there are five 5's)


Highlight the common terms.


Cancel out the common terms.


Simplify


Multiply to get



So


====================================================

Here's the short way to do it:


Start with the given expression.


Divide the terms by subtracting the exponents.


Subtract


Flip the base to make the exponent positive.


Expand to get


Multiply to get



So

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