Question

Calcule o valor de cada expressão:

Answer 1

$C= 0,001^{- \frac{2}{3} }.1000^{ \frac{5}{6} } \\ \\ C= (10^{-3})^{-\frac{2}{3}}.(10^{3})^{\frac{5}{6}} \\ \\ C = 10^{ \frac{6}{3} }.10^{ \frac{15}{6} } \\ \\ C = 10^{ \frac{6}{3} }.10^{ \frac{5}{2} } \\ \\ C=10^{ \frac{12+15}{6} }=10^{ \frac{27}{6} }\\ \\ C= 10^{ \frac{9}{2} } \\ \\ D=(4.10^{-6})^{- \frac{1}{2} } \\ \\ D= \frac{1}{(4.10^{-6})^{\frac{1}{2} }} \\ \\ D= \frac{1}{ \sqrt{(4.10^{-6})} } \\ \\ D= \frac{1}{2.10^{-3}} \\ \\ D= \frac{1}{2.0,001} = \frac{1}{0,002} = 500$

Espero ter ajudado.