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calculati (55/38) la puterea 3 inmultit cu (95/22)la puterea 3​

Răspuns :

[tex]( \frac{55}{38} ) ^{3} \times {( \frac{95}{22}) }^{3} = [/tex]

[tex] = \frac{ {55}^{3} }{ {38}^{3} } \times \frac{ {95}^{3} }{ {22}^{3} } = [/tex]

[tex] = \frac{ {5}^{3} \times {11}^{3} }{2 ^{3} \times {19}^{3} } \times \frac{ {5}^{3} \times {19}^{3} }{ {2}^{3} \times {11}^{3} } = [/tex]

[tex] = \frac{ {5}^{3} \times {5}^{3} }{ {2}^{3} \times {2}^{3} } = [/tex]

[tex] = \frac{ {5}^{6} }{ {2}^{6} } [/tex]