Question

Simplify the expression (4/3)^3×(3/5)^-2÷(2/5)^-3

Answer 1

Hello dear my self RAVI Gupta from Ayodhya Uttar Pradesh

your Solution is Here

$= ( \frac{4}{3} )^{3} \times ({ \frac{3}{5} })^{ - 2} \div {( \frac{2}{5} })^{ - 3}$

$= \frac{ {4}^{3} }{ {3}^{3} } \times \frac{ {3}^{ - 2} }{ {5}^{ - 2} } \div \frac{ {2}^{ - 3} }{ {5}^{ - 3} }$

$= \frac{ {2}^{6} }{ {3}^{3} } \times \frac{ {5}^{2} }{ {3}^{2} } \times \frac{ {5}^{ - 3} }{ {2}^{ - 3} }$

$= \frac{ {2}^{6} \times {5}^{2} \times {5}^{ - 3} }{ {3}^{3} \times {3}^{2} \times {2}^{ - 3} }$

$= \frac{ {2}^{6} \times {5}^{2 - 3} }{ {3}^{3 + 2} \times {2}^{ - 3} }$

$= \frac{ {2}^{6} \times {2}^{3} }{ {3}^{5} \times {5}^{1} }$

$= \frac{ {2}^{9} }{ {3}^{5} \times 5}$

$= \frac{512}{1215}$