Question

25×5²×t³÷10³×t⁴.pls solve
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Answer 1

$Given \:\red{ (25 \times 5^{2} \times t^{3} )\div ( 10^{3} \times t^{4} ) }\\= \frac{(25 \times 5^{2} \times t^{3})}{(10^{3} \times t^{4} )} \\= \frac{5^{2} \times 5^{2} \times t^{3} }{(2 \times 5)^{3} \times t^{4} } \\= \frac{5^{2+2} }{ 2^{3} \times 5^{3} \times t^{4-3} }$

/* By Exponential Laws */

$\blue { 1 . a^{m} \times a^{n} = a^{m+n} }$

$\blue { 2. \frac{a^{m}}{a^{n}} = a^{m-n} }$

$= \frac{5^{4} }{ 2^{3} \times 5^{3} \times t^{1} }$

$= \frac{5^{4-3} }{ 8t } \\= \frac{5}{8t}$

Therefore.,

$\red{ (25 \times 5^{2} \times t^{3} )\div ( 10^{3} \times t^{4} ) }\\\green { = \frac{5}{8t} }$

•••♪

Answer 2

$\bf \frac{25×5²×t³}{10³×t⁴} \\ \\ \bf \frac{ {5}^{2} ×5²×t³}{5³ \times {2}^{3} ×t⁴} \\ \\ \bf \frac{5}{ {2}^{3} ×t} \\ \\ \large \bold{ \tt \: \frac{5}{8t} }$