Question

pls answer my question ​

Answer 1

QUESTION :

$\sf{Simplify : \: \: \frac{25 \times {t}^{ - 4} }{ {5}^{ - 3} \times 10 \times {t}^{ - 8} }}$

ANSWER :

$\sf \frac{25 \times {t}^{ - 4} }{ \frac{1}{ {5}^{3} } \times 10 \times {t}^{ - 8} } \\ \\ \sf{canceling \: \: 25 \: \: and \: \: 10 \: \: with \: \: 5 \: : }\\ \\ \sf \frac{5 \times {t}^{ - 4} }{ \frac{1}{ 125 } \times 2 \times {t}^{ - 8} } \\ \\ \sf \frac{5 \times {t}^{ - 4} }{ \frac{2}{ 125 } \times {t}^{ - 8} } \\ \\ \sf\frac{5}{ \frac{2}{125} } \times \frac{ {t}^{ - 4} }{ { {t}^{ - 8} }^{} } \\ \\ \sf5 \div \frac{2}{125} \times {t}^{ - 4} \div {t}^{ - 8} \\ \\ \sf 5 \times \frac{125}{2} \times {t}^{ - 4 - ( - 8)} \\ \\ \sf\frac{625}{2} \times {t}^{ - 4 + 8} \\ \\ \sf\frac{625}{2} \times {t}^{4} \\ \\ \underline{ \underline{ \sf\frac{625 }{2} {t}^{4} }}$

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