Math, asked by physicslover2078, 1 year ago

Simplify:- (64)^-2/3/ (9)^-3/2​

Answers

Answered by aditya123438
43

Answer:

this is the answer of the following question

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Answered by harshitha202034
23

Answer:

 \frac{ {(64)}^{ \frac{ - 2}{3} } }{ {(9)}^{ \frac{ - 3}{2} } }  \\  =  \frac{ \sqrt[3]{ {64}^{ - 2} } }{ \sqrt[2]{ {9}^{ - 3} } }  \\  =  \frac{ \sqrt[3]{ {(4 \times 4 \times 4)}^{ - 2} } }{ \sqrt[2]{ {(3 \times 3)}^{ - 3} } }  \\  =  \frac{ {4}^{ - 2} }{ {3}^{ - 3} }  \\  =  \frac{ {3}^{3} }{ {4}^{2} }  \\  =  \frac{3 \times 3 \times 3}{4 \times 4} \\   \boxed{ = \underline{ \underline{ \large  \frac{27}{16}  }}}

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