Question

Simplify (25xt^-4)/(5^-3x10xt^-8)​

Answer 1

Step-by-step explanation:

Given

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

Solution -

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