SOLUTION: Simplify (32/128)^¾ ÷ (1/64)^-0.5

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Question 1198058: Simplify (32/128)^¾ ÷ (1/64)^-0.5
Found 3 solutions by ankor@dixie-net.com, MathTherapy, greenestamps:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Simplify (32/128)^¾ ÷ (1/64)^-0.5
We can reduce the the 1st fraction to:

the 2nd fraction, the reciprocal gets rid of the negative
it becomes times (*) which is which is
we have

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Simplify (32/128)^¾ ÷ (1/64)^-0.5


 ------- Reducing the fractional-base in the numerator and changing - 0.5 to  in the denominator

 ----- Appying the law,  in denominator

 ------ Converting numerator's and denominator's bases to base 2

 ---- Applying 

 ----- Applying 

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


To make the work easier to follow, simplify each of the two exponential expressions before performing the division.





Now perform the division.



ANSWER (one of many possible forms): or


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