Question

Exercícios de fixação!

1- Aplicando as propriedades das potências, escreva na forma de uma só potência.30 pontos!!

Answer 1

$a) \ 2^9.2^5=2^{14}\\ b) \ 3^{10}:3^7=3^3\\ c) \ (1,4)^6.(1,4)^4=(1,4)^{10}\\ d) \ (2,7)^5:(2,7)=(2,7)^4\\ e) \ 5^8.8.8^4=8^{10}\\ f) \ (\frac{1}{2})^7:(\frac{1}{2})^5=(\frac{1}{2})^2=\frac{1}{4}\\ g) \ (0,1)^{10}.(0,1)^8.(0,1)^2=(0,1)^{20}\\ h) \ (5^3)^7=5^{21}\\ i) \ [(1,3)^4]^5=(1,3)^{20}\\ j) \ [(2^6)^2]^2=2^{24}$

Answer 2

a )

$2^9.2^5\to~2^{9+5}\to~2^{14}$

b )

$\boxed{ \frac{3^{10}}{3^{7}}~\to~3^{10-7}~\to~3^3 }$

c )

$(1,4)^6(1,4)^4~\to~1,4^{6+4}~\to~1,4^{10}$

d )

$\boxed{ \frac{2,7^{5}}{2,7^{1}}~\to~2,7^{5-1}~\to~2,7^{4} }$

e )

$5^8.5^{1}.5^4~\to~5^{8+1+4}~\to~5^{13}$

f )

$\boxed{ \frac{( \frac{1}{2} )^7}{( \frac{1}{2} )^5} ~\to~ (\frac{1}{2})^{7-5}~\to~ (\frac{1}{2})^2 }$

g )

$(0,1)^{10}(0,1)^{8}(0,1)^{2}~\to~(0,1)^{10+8+2}~\to~(0,1)^{20}$

h )

$(5^3)^7~\to~5^{21}$

i )

$[(1,3)^4]^5~\to~(1,3)^{20}$

j )

$[(2^6)^2]^2~\to~[2^{12}]^2~\to~2^{24}$