hasil dari (7 ^2*2^-3*5^3) dikurangi (5^2*7*2^2) dibagi 7^2*2^-1*5^2
Matematika
apa74
Pertanyaan
hasil dari (7 ^2*2^-3*5^3) dikurangi (5^2*7*2^2) dibagi 7^2*2^-1*5^2
1 Jawaban
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1. Jawaban syifajs
[tex] \frac{(7 {}^{2} \times 2 {}^{ - 3} \times 5 {}^{3} ) - (5 {}^{2} \times 7 \times 2 {}^{2}) }{7 {}^{2} \times 2 {}^{ - 1} \times 5 {}^{2} } \\ = \frac{(49 \times 2 {}^{ - 3} \times 5 {}^{3} ) - (25 \times 7 \times 4)}{7 {}^{2} \times 2 {}^{ - 1} \times 5 {}^{2} } \\ = \frac{49 \times 2 {}^{ - 3} \times 5 {}^{3} - 700 }{7 {}^{2} \times 2 {}^{ - 1} \times 5 {}^{2} } \\ = \frac{49 \times 2 {}^{ - 3} \times 125 - 700}{7 {}^{2} \times 2 {}^{ - 1} \times 5 {}^{2} } \\ = \frac{6125 \times 2 {}^{ - 3} - 700 }{7 {}^{2} \times 2 {}^{ -1 } \times 5 {}^{2} } \\ = \frac{(6125 \times \frac{1}{2 {}^{3} } - 700) \times 2}{7 {}^{2} \times 5 {}^{2} } \\ = \frac{( \frac{6125}{8} - 700) \times 2 }{35 {}^{2} } \\ = \frac{ \frac{525}{8} \times 2}{35 {}^{2} } \\ = \frac{ \frac{525}{4} }{35 {}^{2} } \\ = \frac{525}{4 \times 35 {}^{2} } \\ = \frac{15 \times 35}{4 \times 35 {}^{2} } \\ = \frac{3}{4 \times 7} \\ = \frac{3}{28} [/tex]