Question

Reduza a uma única potência as expressões: (peso: 10 cada)

(+ 23)⁹ : (+ 23)⁵
(+ 2,4)³ . (+ 2,4)⁵
[(- 1,5)³]³
(16)³ . (16)³ + (16)

Answer 1

Resposta:

\begin{gathered}a)\\ (-8)^5.(-8).(-8)^4=(-8)^{5+1+4}=(-8)^{10}\\ \\ b)\\ .[(+2)^6]^2=(+2)^{6.2}=(+2)^{12}\\ \\ c)\\ (-10)^9:(-9)^6=(-10)^{9-6}=(-10)^3\\ \\ d)\\ (+9).(+9)^{11}.(+9)^8=(+9)^{1+11+8}=(+9)^{20}\\ \\ e)\\ (+13)^{20}:(+20)^{14}=(+13)^{20-14}=(+13)^6\\ \\ f)\\ .[(+7)^4]^3=(+7)^{4.3}=(+7)^{12}\\ \\ g)\\ (+10)^5.(+10).(+10)^8=(+10)^{5+1+8}=(+10)^{14}\\ \\ h)\\ (+20)^7:(+20)^6}=(+20)^{7-6}=(+20)^1=(+20)\end{gathered}