Question

simplify the following: 25×5²×t8/10³× t4​

Answer 1

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.