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Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify your reasoning.

 

 Jun 9, 2022
 #1
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A)   We are using the property     c √  (a^b)    =   a^(b/c)....so...

  4 √ x^3 =    x^(3/4)

 

B)  We are using the property that   1 / a^-n  =   a^n .....so.....

1 / x^(-1)   =  x^1   

 

C)  We are using the property  that   a^m * a^n  =  a^(m+n)

10 √ (x^5  * x^4  * x^2 )  =    

10 √ (x^11)  =

x^(11/10)

 

D)  x^(1/3) * x^(1/3) * x^(1/3)   =

      x^(1/3 + 1/3 + 1/3)  =

     x^1 

 

 

cool cool cool

 Jun 9, 2022

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