Question

Simplify : 25 × t^–4/5^–3 × 10 × t^–8 (t ≠ 0)

Answer 1

Here is your answer...✌

\begin{gathered} \frac{25 \times {t}^{ - 4} }{ {5}^{ - 3 } \times 10 \times {t}^{ - 8 } } \\ \\ = \frac{25 \times {5}^{3} \times {t}^{ - 4 - ( - 8)} }{10} \\ \\ = \frac{5 \times {5}^{3} \times {t}^{ - 4 + 8} }{2} \\ \\ = \frac{625}{2} {t}^{4} \end{gathered}5−3×10×t−825×t−4=1025×53×t−4−(−8)=25×53×t−4+8=2625t4

Answer 2

Solution :-

25 × t^–4/5^–3 × 10 × t^–8

25 × 1/t⁴/1/5³ × 10 × 1/t^8

25/t⁴/1/125 × 10 × 1/t^8

25/t⁴/2/25 × 1/t^8

25/t⁴/2/25t^8

25/t⁴ × 25t^8/2

625/2 t^8–4

625/2 t⁴