Question

qual é a metade da raiz quadrada do número 5^50 / 2^20

Answer 1

√5^(50)/²(20)
291,038,304,570,000

Answer 2

$\sqrt{ \frac{5^{50}}{2^{20}} } . \frac{1}{2} = \frac{ \sqrt{5^{50}} }{ \sqrt{2^{20}} } . \frac{1}{2} = \frac{5^{25}}{2^{10}} . \frac{1}{2} \\ \\ 5^{25}.2^{-10} . \frac{1}{2}=5^{25}.2^{-11} \\ \\ log5^{25}.2^{-11}=log x \\ \\ log5^{25}+log2^{-11}=log x \\ \\ 25.log5+(-11).log2=log x \\ \\ 25.0,6989 - 11.0,3010=log x \\ \\ 17,4725-3,311 = log x \\ \\ log x=14,1615 \\ \\ 10^{14,1615}=x \\ \\ x = 1,45044.10^{14}$

Espero ter ajudado.