Question

please solve this question​

Answer 1

Answer:

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Answer 2

Answer:

$1) \frac{25 \times {5}^{2} \times {t}^{8} }{ {10}^{3} \times {t}^{4} } \\ = \frac{5 \times 5 \times 5 \times 5 \times t \times t \times t \times t \times t \times t \times t \times t}{10 \times 10 \times 10 \times t \times t \times t \times t} \\ = \frac{5 \times t \times t \times t \times t}{2 \times 2 \times 2} \\ = \frac{5 \times {t}^{4} }{ {2}^{3} } \\ 2) \frac{ {3}^{5} \times {10}^{5} \times 25}{ {5}^{7} \times {6}^{5} } \\ = \frac{3 \times 3 \times 3 \times 3 \times 3 \times 10 \times 10 \times 10 \times 10 \times 10 \times 5 \times 5}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 6 \times 6 \times 6 \times 6 \times 6} \\ = 1 \\ 3)[ { (\frac{( - 3)}{4} )}^{3} - { (\frac{( - 5)}{2} )}^{3} ] \times { (\frac{( - 2)}{3})}^{4} \\ = {( \frac{( - 3)}{4} - \frac{( - 5)}{2} )}^{3} \times { (\frac{( - 2)}{3})}^{4} \\ = { (\frac{( - 3) - ( - 10)}{4}) }^{3} \times { (\frac{( - 2)}{3})}^{4} \\ = { (\frac{( - 3) + 10}{4} )}^{3} \times { (\frac{( - 2)}{3}) }^{4} \\ = { (\frac{ 7 }{4} )}^{3} \times { (\frac{( - 2)}{3}) }^{4} \\ = \frac{343}{64} \times \frac{16}{81} \\ = \frac{343}{324}$