Question

reduza a uma só potência.

a) 6¹²:6¹⁵=

b) (-3)².(-3)⁵.(-3)-⁷.(-3)³=

c){(-½): (-½)⁶}-⁴=​

Answer 1

a)

$a^m:a^n = a^{m-n} \\ 6^{12}:6^{15}=6^{12-15}=6^{-3}$

b)

$a^m*a^n=a^{m+n} \\ (-3)^2*(-3)^5*(-3)^{-7}*(-3)^3= (-3)^{2+5+(-7)+3}=(-3)^3$

c)

$\{(-\frac{1}{2}):(-\frac{1}{2})^6\}^{-4} \\\\ \{(-\frac{1}{2})^1:(-\frac{1}{2})^6\}^{-4} \\\\ \{(-\frac{1}{2})^{1-6}\}^{-4} \\\\ \{(-\frac{1}{2})^{-5}\}^{-4} \\\\ (-\frac{1}{2})^{-5*(-4)} \\\\ (-\frac{1}{2})^{20}$