Question

Heya, ________________

Simplify:

$\frac{ {5}^{n + 3} - 6 \times {5}^{n + 1} }{9 \times {5}^{n} - {2}^{2} \times {5}^{n} } \\ plz \: solve \: it \: fast$

Have a ^ Good Day ^ Ahead☺!

Answer 1

This image may help you
Answer-19

Answer 2

Answer:

$\large\boxed{\sf{19}}$

Step-by-step explanation:

$\frac{ {5}^{n + 3} - 6 \times {5}^{n + 1} }{9 \times {5}^{n} - {2}^{2} \times {5}^{n} } \\ \\ = \frac{ {5}^{n + 1 + 2 } - 6 \times {5}^{n + 1} }{ {5}^{n}(9 - {2}^{2} ) } \\ \\ = \frac{ {5}^{n + 1} \times {5}^{2} - 6 \times {5}^{n + 1} }{ {5}^{n}(9 - 4) } \\ \\ = \frac{ {5}^{n + 1} ( {5}^{2} - 6) }{5 \times {5}^{n} } \\ \\ = \frac{ {5}^{n + 1} (25 - 6)}{ {5}^{n + 1} } \\ \\ = 25 - 6 \\ \\ = 19$

Concept Map:-

• ${a}^{m} \times {b}^{m} = {(ab)}^{m}$

• ${a}^{m} \times {a}^{n} = {a}^{m + n}$