Question

Anyone genius in maths ,who can solve my question: -

1) simplify: - (25)^ 3/2 / (16)^ 5/4 * (245)^3/5 /(8)^4/3

Answer 1

A small correction in your question. It should be 243 instead of 245.

$= > Given : \frac{(25)^\frac{3}{2} * }{(16)^\frac{5}{4}} * \frac{(243)^\frac{3}{5}}{(8)^\frac{4}{3}}$

$= > \frac{(5^2)^\frac{3}{2}}{(2^4)^\frac{5}{4}} * \frac{(3^5)^\frac{3}{5}}{(2^3)^\frac{4}{3}}$

$= > \frac{5^3 * 3^3}{2^5 * 2^4}$

$= > \frac{125 * 27}{32 * 16}$

$= > \frac{3375}{512}$