Question

pls explain me last 2 steps...no scamming.... otherwise I'll report the answer....​

Answer 1

Answer:

$\green { \frac{ 3}{5} }$

Step-by-step explanation:

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

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

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

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

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

$Take \: 5^{n+2} \: common , \:we \:get$

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

$= \frac{ (2+1)}{(3+2)}$

$= \frac{ 3}{5}$

Therefore.,

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

$\green {= \frac{ 3}{5} }$

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