Question

Simplify fast urgent

Answer 1

Answer:

$\frac{15.10^2.3^3}{6^5.5^2}$ $=\frac{5}{24}$

Step-by-step explanation:

$\frac{15.10^2.3^3}{6^5.5^2}$

$=\frac{5.3.(5.2)^2.3^3}{(2.3)^5.5^2}$

$=\frac{5^3.3^4.2^2}{2^5.3^5.5^2}$  [∵ $(ab)^m = a^m.b^m$]

$=2^{2-5}.3^{4-5}.5^{3-2}$

$=\frac{5}{2^3.3}$  [∵ $a^{-m} = \frac{1}{a^m}$]

$=\frac{5}{24}$