Question

Calcule o valor das potências:
a)4⁻⁴.4²/4⁻⁶
b) (2⁵.2⁻⁶)⁻²
c)(5/5⁻¹)²

Answer 1

Aplicando propriedades de potencias

               $\frac{4^{-4} .4^2}{ 4^{-6} } = 4^{-4+2+6} =4^4= 256\\ \\ (2^5. 2^{-6} ) ^{-2} =( 2^{5-6} ) ^{-2} =( 2^{-1}) ^{-2} = 2^{(-1)(-2)} =2^2=4 \\ \\ ( \frac{5}{ 5^{-1} } )^2=( 5^{1+1})^2=(5^2)^2= 5^{(2)(2)} =5^4=625$