Question

please solve this problem

Answer 1

Given Equation is (25)^3/2 * (243)^3/5 / (16)^5/4 * (8)^4/3.   ------- (1)


(1) Numerator:

(25)^3/2 * (243)^3/5

= (5^2)^3/2 * (3^5)^3/5

= (5)^3 * (3)^3

= 125 * 27

= 3375.     ------------- (2)


(2) Denominator:

(16)^5/4 * (8)^4/3

= (2^4)^5/4 * (2^3)^4/3

= (2)^5 * (2)^4

= 32 * 16

= 512.     ------------------- (3)


Now substitute (2) & (3), in (1), we get


= 3375/512.  (or) 6.591


Hope this helps!