Question
Simplify:$\frac{25 \times 5^{2} \times t^{8}}{10^{3} t^{4}}$
✓
Answer
$\frac{25 \times 5^{2} \times t^{8}}{10^{3} \times t^{4}}=\frac{5^{2} \times 5^{2} \times t^{8}}{(2 \times 5)^{3} \times t^{4}}=\frac{5^{2+2} \times t^{8}}{2^{3} \times 5^{3} \times t^{4}}$
$\frac{5^{4} \times t^{8}}{2^{3} \times 5^{3} \times t^{4}}=\frac{5^{4-3} \times \ t^{8-4}}{2^{3}}=\frac{5^{1} \times \ t^{4}}{2^{3}}=\frac{5 t^{4}}{8}$
$\frac{5^{4} \times t^{8}}{2^{3} \times 5^{3} \times t^{4}}=\frac{5^{4-3} \times \ t^{8-4}}{2^{3}}=\frac{5^{1} \times \ t^{4}}{2^{3}}=\frac{5 t^{4}}{8}$
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