Question

resolva as expressões a seguir:

a) (49 • 7²/7³) - (7² • 7³/343)
b) (125 • 5²/5³) : (25 • 125/5³)

Answer 1

Explicação passo-a-passo:

$( \frac{49 \times 7 {}^{2} }{7 {}^{3} } ) - ( \frac{7 {}^{2} \times 7 {}^{3} }{343} ) \\ \\ \frac{7 {}^{2} \times 7 {}^{2} }{7 {}^{3} } - \frac{7 {}^{5} }{7 {}^{3} } \\ \\ \frac{7 {}^{4} }{7 {}^{3} } - \frac{7 {}^{5} }{7 {}^{3} } \\ \\ 7 - 7 {}^{2} \\ 7 - 49 \\ - 42$

$\frac{5 {}^{3} \times 5 {}^{2} }{5 {}^{3} } \div \frac{5 {}^{2} \times 5 {}^{3} }{5 {}^{3} } \\ \\ 5 {}^{2} \div 5 {}^{2} \\ \\ 25 \div 25 \\ 1$