Question

Simplify:- (64)^-2/3/ (9)^-3/2​

Answer 1

Answer:

this is the answer of the following question

Answer 2

Answer:

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