Question

Solve the following problems. 1) Simplyfy : (5/2)5 ÷ (2/5)3​

Answer 1

Step-by-step explanation:

refer to the attachment

hope it helps

Answer 2

Step-by-step explanation:

$\rm 0.9 \times 10 = 9$

$\rm 0.1 \times 12.6 = 1.26$

$3.25 \div 10 = \frac{3.25}{10} = 0.325$

$0.9 \div 3 = \frac{0.9}{3} = 0.3$

$12.5 \div 2.5 = \frac{12.5}{2.5} = 5$

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

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

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

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

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

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

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

$\rm \frac{{a}^{4} \times {a}^{ - 4} \times {b}^{5} \times {b}^{ - 3} }{ {c}^{8} \times {c}^{7} } \: \: \{ \because \: \frac{ {x}^{m} }{ {x}^{n} } = {x}^{m - n} \}$

$\rm \frac{{a}^{4 - 4} \times {b}^{5 - 3}}{ {c}^{8 - 7} } \: \: \{ \because \: {x}^{m} \times {x}^{n} = {x}^{m + n} \}$

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

$\rm \frac{1 \times {b}^{2}}{ {c} } \: \: \{ \because \: \: {x}^{0 } = 1 \}$

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

$\rm 2x = 10$

$\rm x = \frac{ \cancel{10}}{\cancel2}$

$\rm x = 5$

$\rm 7m + 5 = 40$

$\rm 7m = 40 - 5$

$\rm 7m =35$

$\rm m = \frac{ \cancel{35}}{ \cancel7}$

$\rm m = 5$

$\rm 2(x + 3) = 10$

$\rm 2x + 6 = 10$

$\rm 2x = 10 - 6$

$\rm 2x =4$

$\rm x = \frac{ \cancel4}{\cancel2}$

$\rm x = 2$