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what is the answer to 3 to the power of -1 times by 3 to the power of 5 (3 -1 X 3 5)

 Sep 8, 2017
 #1
avatar+5259 
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3-1 * 35=81

 Sep 8, 2017
 #2
avatar+2338 
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To evaluate \(3^{-1}*3^5\), you must be comfortable with exponent rules.

 

\(3^{-1}*3^5\) Use the exponent rule that\(a^b*a^c=a^{b+c}\)to simplify the expression.
\(3^{-1}*3^5=3^{-1+5}=3^4\) Now, evaluate 3^4.
\(3^4=\underbrace{3*3}*\underbrace{3*3}\) To ease computation, calculate it as the following as multiplication can be done in any order.
\(3^4=9*9=81\)  
   
 Sep 9, 2017

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