Question

15. Simplify:
3⁵*10⁵*25/5⁷*6⁵​

Answer 1

★Solution:-

$\frac{ {3}^{5} \times {10}^{5} \times {25}^{} }{ {5}^{7} \times {6}^{5} } \\ \\ \\ \implies \: \frac{ {3}^{5} \times {10}^{5} \times 25 }{ {5}^{7} \times (3 \times 2) {}^{5} } \\ \\ \\ \implies \: \frac{ {3}^{5} \times (5 \times 2) {}^{5} \times {5}^{2} }{ {5}^{7} \times {3}^{5} \times {2}^{5} } \\ \\ \\ \implies \: {3}^{5 - 5} \times {2}^{5 - 5} \times {5}^{7 + 2 - 7} \\ \\ \\ \implies \: {3}^{0} \times {2}^{0} \times {5}^{0} \\ \\ \\ \implies \: \underline{\boxed { 1}}$

Answer 2

$\large \underline\bold \orange{Given :-}$

$\large\bold \green\leadsto \bold \green{ \frac{ {3}^{5} \times 10 {}^{5} \times 25}{5 {}^{7} \times 6 {}^{5} } }$

$\large \underline \bold \orange{Solution :-}$

$\large\bold \pink\multimap \bold \pink{ \frac{3 {}^{5} \times 5 {}^{5} \times 2 {}^{5} \times 5 {}^{2} }{5 {}^{7} \times 2 {}^{5} \times 3 {}^{5} } }$

REDUCE  SIMPLIFY ◻⤵

$\huge \bold \pink\hookrightarrow \bold \pink{ \frac{5 {}^{5} }{5 {}^{5} } }$

$\bold \red{ REDUCE~THE~FRACTION\curvearrowright }$

$\huge \bold \red\twoheadrightarrow \bold \pink{ its \: 1 \: \: \checkmark}$