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Grace [21]
3 years ago
13

Evaluate.     −64125‾‾‾‾‾√3

Mathematics
2 answers:
Alexeev081 [22]3 years ago
7 0

The given expression is :\sqrt[3]{\frac{-64}{125}}

64 can be written as 4x4x4=4^{3}

125 =5x5x5=5^{3}

The given expression can be written as :

\sqrt[3]{\frac{-64}{125}}  =\sqrt[3]{\frac{(-4)^{3}}{5^{3}}}     =[( \frac{-4}{5})^{3}  }]^\frac{1}{3}

Applying power rule of indices :

Powers are multiplied .

\frac{1}{3}  times 3 = 1.

= \frac{-4}{5}

The first option \frac{-4}{5} is the right asnwer

Kipish [7]3 years ago
6 0
-4/5 is correct, since (-4/5)³ = -4*-4*-4/(5*5*5) = -64/125 
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