Question

calcule o valor da expressão
(10⁴)⁷
_________
(10⁸x10)³​

Answer 1

$\sf \: \frac{ \big(10 {}^{4} \big) {}^{7} }{ \big(10 {}^{8} \times 10 \big) {}^{3} } \\ \\ \sf \: \frac{10 {}^{4 \times 7} }{ \big(10 {}^{8} \times 10\big) {}^{3} } \\ \\ \sf \: \frac{10 {}^{28} }{ \big( 10 {}^{8} \times 10\big) {}^{3} } \\ \\ \sf \: \frac{10 {}^{28} }{ \big( 10 {}^{8} \times 10 {}^{1} \big) {}^{3} } \\ \\ \sf \: \frac{10 {}^{28} }{ \big( 10 {}^{8 + 1} \big) {}^{3} } \\ \\ \sf \: \frac{10 {}^{28} }{ \big(10 {}^{9} \big) {}^{3} } \\ \\ \sf \: \frac{10 {}^{28} }{10 {}^{9 \times 3} } \\ \\ \sf \: \frac{10 {}^{28} }{10 {}^{27} } \\ \\ \sf \: 10 {}^{28 - 27} \\ \\ \sf \: 10$

Att: Nerd1990