Question

Escreva cada produto e divisão com uma única potência:
a) 10(5) . 10(9)
b) (-2)³ . (-2) ³
c) (1/2)² . ( 1/2)³ . (1/2)
d) O dobro de 2 (10)
e) 3 (7) ÷ 3(5)
f) (-1) 8 ÷ (-1 )6
g) (2/3)4 ÷ ( 2/3)
h) a metade de 2(10)

Answer 1

Explicação passo-a-passo:

a) $\sf 10^5\cdot10^9=10^{5+9}=\red{10^{14}}$

b) $\sf (-2)^3\cdot(-2)^3=(-2)^{3+3}=\red{(-2)^{6}}$

c) $\sf \Big(\dfrac{1}{2}\Big)^2\cdot\Big(\dfrac{1}{2}\Big)^3\cdot\Big(\dfrac{1}{2}\Big)=\Big(\dfrac{1}{2}\Big)^{2+3+1}=\red{\Big(\dfrac{1}{2}\Big)^6}$

d) $\sf 2\cdot2^{10}=2^{1+10}=\red{2^{11}}$

e) $\sf 3^7\div3^5=3^{7-5}=\red{3^2}$

f) $\sf (-1)^8\div(-1)^6=(-1)^{8-6}=\red{(-1)^2}$

g) $\sf \Big(\dfrac{2}{3}\Big)^4\div\Big(\dfrac{2}{3}\Big)=\Big(\dfrac{2}{3}\Big)^{4-1}=\red{\Big(\dfrac{2}{3}\Big)^3}$

h) $\sf 2^{10}\div2=2^{10-1}=\red{2^9}$