Question

Reduza a uma só potência:

j) $2^{5}$ . $10^{5}$ . $20^{-3}$ =

Answer 1

$= 2 {}^{5} \: . \: 10 {}^{5} \: . \: 20 {}^{ - 3} \\ \boxed{a {}^{ - n} = \frac{1}{a {}^{n} } } \\ = 2 {}^{5} \: . \: 10 {}^{5} \: . \: \frac{1}{20 {}^{3} } \\ = 2 {}^{5} \: . \: 10 {}^{5} \: . \: \frac{1}{(10 \: . \: 2) {}^{3} } \\= \backslash\!\!\!\!2 {}^{5} \: . \: 10 {}^{5} \: . \: \frac{1}{10 {}^{3} \: . \: \backslash\!\!\!\!2 {}^{3} } \\ = 2 {}^{2} \: . \: \backslash\!\!\!\!10 {}^{5} \: . \: \frac{1}{\backslash\!\!\!\!10 {}^{3} } \\ = 2 {}^{2} \: . \: 10 {}^{2} \\ = (2 \: . \: 10) {}^{2} \\ \boxed{ = 20 {}^{2} }$

Att. NLE Top Shotta