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Simplify (25xt^-4)/(5^-3x10xt^-8)​

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355 cents Lloyd
Answer:

Given

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

Solution -

 \frac{25 \times{t}^{ - 4} }{ {5}^{ - 3}\times 10 \times{t}^{ - 8} }\\\\=\frac{ {5}^{2} \times{t}^{ - 4}}{ {5}^{ - 3}\times 2 \times 5 \times{t}^{ - 8} }\\\\ =\frac{1}{2}\times\frac{ {5}^{2} }{ {5}^{ - 3}\times 5}\times\frac{ {t}^{ - 4} }{ {t}^{ - 8} }\\\\=\frac{1}{2}\times{5}^{2 - ( - 3) - 1}\times{t}^{ - 4- ( - 8)}\\\\=\frac{1}{2}\times{5}^{4}\times{t}^{4}\\\\=\frac{1}{2}\times (5t) {}^{4}

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