Question

simplify
$\frac{25 \times {t}^{ - 4} }{ {5}^{ - 3} \times 10 \times {t}^{ - 8} }$

Answer 1

$\frac{25 \times {t}^{ - 4} }{ {5}^{ - 3} \times 10 \times {t}^{ - 8} } \\ \\ = \frac{25 \times {5}^{3} \times {t}^{8} \times {t}^{ - 4} }{10} \\ \\ = \frac{25 \times 125 \times {t}^{8 + ( - 4)} }{10} \\ \\ = 2.5 \times 125 \times {t}^{4} \\ \\ \bf = 312.5 {t}^{4} \: \: \: or \: \: \: \frac{3125 {t}^{4} }{10}$