Question

Please Answer This Correctly And Get Points

Do Not Spam

Urgent Answer

Answer 1

$\frac{10\times 5^{n+1} + 25 \times 5^{n}}{3 \times 5^{n+2} + 10 \times 5^{n+1}} \\= \frac{2 \times 5\times 5^{n+1} + 5^{2} \times 5^{n}}{3 \times 5^{n+2} + 2 \times 5 \times 5^{n+1}} \\= \frac{2\times 5^{n+2} + 5^{n+2}}{3 \times 5^{n+2} + 2 \times 5^{n+2}}$

/* By Exponential Law */

$\boxed{ \pink{ a^m \times a^{n} = a^{m+n}}}$

$= \frac{ \cancel {5^{n+2}} ( 2 + 1 )}{ \cancel { 5^{n+2}} ( 3 + 2)} \\= \frac{ 3}{5}$

Therefore .,

$\red{\frac{10\times 5^{n+1} + 25 \times 5^{n}}{3 \times 5^{n+2} + 10 \times 5^{n+1}} }\\\green { = \frac{ 3}{5} }$

•••♪