Question

Simplify (4/5)^2 * 5^4 * (2/5)^-2 divided by ( 5/2)6-3

Answer 1

Answer:

208.33

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Answer 2

$\small\sf \bf \red{ 208.33\:}$

Step-by-step explanation:

$\frac{( { \frac{4}{5} })^{2} \times {5}^{4} \times ({ \frac{2}{5} })^{ - 2} }{ (\frac{5}{2})6 - 3 } \\ \\ = \frac{ \frac{16}{25} \times 625 \times {( \frac{5}{2} })^{2} }{15 - 3 } \\ \\ = \frac{ \frac{16}{25} \times 625 \times \frac{25}{4} }{12} \\ \\ = \frac{4 \times 25 \times 25}{12} \\ \\ = \frac{625}{3} \\ \\ = 208.33$