Question

Aflați x din raportul:
$\frac{8}{15} \times ( \frac{1}{5} + x \times ( 1 \times \frac{1}{3} - 1 \times \frac{1}{5} )) \times 1 \times \frac{2}{3} \: \: \: totul \: supra \: 2.1(3) \: = \: \frac{ {16}^{8} }{ {8}^{10} }$
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Answer 1

2,1(3) = (213-21)/90 = 192/90 = 32/15

$\frac{\frac{8}{15}[\frac{1}{5} +x(^{5)}\frac{1}{3} -^{3)}\frac{1}{5})] *\frac{2}{3} }{\frac{32}{15} } =\frac{(2^4)^8}{(2^3)^{10}} \\\frac{8}{15}[\frac{1}{5}+x(\frac{5}{15}-\frac{3}{15})*\frac{2}{3}]:\frac{32}{15}=\frac{2^{32}}{2^{30}}\\ \frac{8}{15}[\frac{1}{5}+\frac{2}{15}x*\frac{2}{3}]=2*\frac{15}{32} \\ \frac{1}{5}+\frac{4}{45}x=\frac{8}{15}*\frac{16}{15} \\\frac{4}{45}x= \frac{128}{225}\\ x = \frac{128}{225} *\frac{45}{4}\\ x = \frac{32}{5}$