Simplify the following: 25×5²×t8/10³× t4

1.	Simplify the following: 25×5²×t8/10³× t4
Answer» ANSWER: GIVEN: $= \frac{ {25}^{} \times {5}^{2} \times {t}^{8} }{ {10}^{3} \times {t}^{4} }$ $= \frac{ {5}^{2} \times {5}^{2} \times {t}^{8} }{ {10}^{3} \times {t}^{4} }$ $= \frac{ {5}^{(2 + 2)} \times {t}^{8} }{ {10}^{3} \times {t}^{4} } \: \: \: \: \: \: \: \: \: \:[ {a}^{m} \times {a}^{n } = {a}^{m + n} ]$ $= \frac{ {5}^{4} \times {t}^{8} }{ {10}^{3} \times {t}^{4} }$ $= \frac{ {5}^{4} \times {t}^{(8 - 4)} }{ {10}^{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ]$ $= \frac{625 \times {t}^{4} }{1000}$ $= 0.625 {t}^{4}$ #BrainLock.

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