Question

Dada as potências, calcule de acordo com as propriedades
a) 3⁴.3²=

b) 5².5³=

c) (7³)²=

d) 5³=
3

e) (9.3)²=

f) (7.6)³=

g)6³.6=

h)15⁴=
3

i) 16.16²=

Answer 1

$a) 3^4*3^2=3 ^{4+2}= \boxed{ 3^6 } \\ \\ \\ b) 5^2*5^3=5^{2+3}= \boxed{5^5} \\ \\ \\ c) (7^3)^2=7^{3*2}= \boxed{7^6} \\ \\ \\ d) \dfrac{5}{3}^3 = \dfrac{5^3}{3^3} = \boxed{ \frac{125}{27}} \\ \\ \\ e) (9*3)^2= 9^2*3^2= (3^2)^2*3^2= 3^{2*2+2}= 3^{4+2}= \boxed{3^6}$

$f) (7*6)^3= \boxed{7^3*6^3} \\ \\ \\ g)6^3*6= 6^{3+1}= \boxed{6^4} \\ \\ \\ h) \dfrac{15}{3}^4= \dfrac{15^4}{3^4}=\dfrac{(3*5)^4}{3^4}=\dfrac{3^4}{3^4}*5^4= \boxed{5^4} \\ \\ \\ i) 16*16^2= 16^{1+2} = 16^3= (2^4)^3= 2^{4*3}= \boxed{2^{12}}$