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Use the properties of radicals to simplify the expression. 6√4⋅8√4

 Apr 9, 2016
 #1
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= 4^ (7/24)

 Apr 9, 2016
 #2
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6√4⋅8√4=96sqrt(4)

 Apr 9, 2016
 #3
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6√4⋅8√4 = 6*2*8*2 = 192

 Apr 9, 2016
 #4
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IF you meant the 6th root of 4    times the  8th root of 4:

4^(1/6)  x  4^(1/8)   =   4^(1/6+1/8) = 4 ^(7/24)        

Check:

4^(1/6) = 1.259921

4^(1/8) = 1.189207      Multiplied together = 1.49830

 

4^(7/24) = 1.49830       Check!

 Apr 9, 2016

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