Question

solve the following ​

Answer 1

Step-by-step explanation:

$( \frac{5}{2} )^{5} \div ( \frac{2}{5 } )^{3}$

$\frac{ {5}^{5} }{ {2}^{2} } \div \frac{ {2}^{3} }{ {5}^{3} }$

$\frac{ {5}^{5} }{ {2}^{2} } \times \frac{{5}^{3} }{ {2}^{3} }$

$\frac{ {5}^{5} \times {5}^{3} }{ {2}^{5} \times {2}^{3} }$

$\frac{ {5}^{5 + 3} }{ {2}^{5 + 3} }$

$\frac{ {5}^{8} }{ {2}^{8} }$

$\frac{390625}{256}$

$\rm2) \: \: \frac{ {a}^{4} \times {b}^{5} \times {c}^{7} }{ {c}^{8} \times {a}^{4} \times {b}^{3} }$

$\rm \: \: \frac{ {a}^{4} \times {b}^{5} \times {c}^{7} }{ {a}^{4} \times {b}^{3} \times {c}^{8} }$

$\rm{a}^{4 - 4} \times {b}^{5 - 3} \times {c}^{7 - 8}$

$\rm {a}^{0} \times {b}^{2} \times {c}^{ - 1}$

$\rm \frac{1 \times b^{2} }{c}$

$\rm \frac{ {b}^{2} }{c}$

I hope it is helpful