Question

4) Reduza a uma só potência:
a) 5⁶ . 5² =
b) x⁷. x⁸=
c) (+5)⁷ . (+5)² =
d) (+6)² . (+6)³ =
e) (-3)⁷ : (-3)² =
f) (+4)¹⁰ : (+4)³ =

g) (-5)⁶ : (-5)² =
h) [(+2)⁴ ]⁵ =
i) [(-7)⁵ ]³ =
j) [(-1)² ]² =
k) [(+2)³ ]³ =
l) [(-5)⁰ ]³ =

Answer 1

Resposta:

$a)\\ \\ \\ 5^{6} .5^{2} =5^{6+2} =5^{8} \\ \\ \\ b)\\ \\ \\ x^{7}. x^{8} =x^{7+8} =x^{15} \\ \\ \\c)\\ \\ \\ 5^{7} .5^{2}=5^{7+2} =5^{9} \\ \\ \\ d)\\ \\ \\ 6^{2}. 6^{3} =6^{2+3} =6^{5} \\ \\ \\e)\\ \\ \\ (-3)^{7}:(-3)^{2} =(-3)^{7-2} =(-3)^{5} \\ \\ \\ f)\\ \\ \\ 4^{10}: 4^{3}=4^{10-3} =4^{7}\\ \\ \\ g)\\ \\ \\ (-5)^{6}:(-5)^{2} =(-5)^{6-2} =(-5)^{4} =5^{4}\\ \\ \\ h)$

$\left[(2^{4})]^{5}=2^{4.5}=2^{20}$

$i)\\ \\ \\ \left[(-7^{5})]^{3}=-7^{5.3}=(-7)^{15}$

$j)\\ \\ \\ \left[(-1^{2})]^{2}=(-1)^{2.2}=1^{2} =1$

$k)\\\\ \\ \left[2^{3})]^{3}=2^{3.3}=2^{9}$

$l)\\ \\ \\ \left[(-5^{0})]^{3}=(-5)^{0.3}=(-5)^{0}=5^{0} =1$