Question

valendo 70 pontos
prf

Answer 1

Explicação passo-a-passo:

1)

a) $\sf 2^3\div2^2=2^{3-2}=\red{2^1}$

b) $\sf 4^4\div4^5=4^{4-5}=\red{4^{-1}}$

c) $\sf 3^6\div3^2=3^{6-2}=\red{3^4}$

d) $\sf 8^3\div8^4=8^{3-4}=\red{8^{-1}}$

e) $\sf 9^7\div9^2=9^{7-2}=\red{9^5}$

f)

$\sf 5^7\div5^2\div5^8\div5^6$

$\sf =5^{7-2}\div5^{8-6}$

$\sf =5^5\div5^2$

$\sf =5^{5-2}$

$\sf =\red{5^3}$

g)

$\sf 6^9\div6^3\div6^0\div6^5$

$\sf =6^{9-3}\div6^{0-5}$

$\sf =6^6\div6^{-5}$

$\sf =6^{6+5}$

$\sf =\red{6^{11}}$

h)

$\sf 7^5\div7^9\div7^4\div7^0$

$\sf =7^{5-9}\div7^{4-0}$

$\sf =7^{-4}\div7^{4}$

$\sf =7^{-4-4}$

$\sf =\red{7^{-8}}$

2)

a)

$\sf 5^4\div5^2\times5^3\div5^9$

$\sf =5^{4-2}\times5^{3-9}$

$\sf =5^2\times5^{-6}$

$\sf =5^{2-6}$

$\sf =\red{5^{-4}}$

b)

$\sf 8^7\times8^9\div8^3\times8^4$

$\sf =8^{7+9}\div8^{3+4}$

$\sf =8^{16}\div8^{7}$

$\sf =8^{16-7}$

$\sf =\red{8^9}$

c)

$\sf 9^5\div9^2\div9^5\times9^4$

$\sf =9^{5-2}\div9^{5+4}$

$\sf =9^3\div9^9$

$\sf =9^{3-9}$

$\sf =\red{9^{-6}}$

d)

$\sf 4^3\div4^2\div4^9\div4^{10}$

$\sf =4^{3-2}\div4^{9-10}$

$\sf =4^1\div4^{-1}$

$\sf =4^{1+1}$

$\sf =\red{4^2}$

e)

$\sf 9^6\times9^3\div9^5\times9^2$

$\sf =9^{6+3}\div9^{5+2}$

$\sf =9^9\div9^7$

$\sf =9^{9-7}$

$\sf =\red{9^{2}}$

Answer 2

1)

a)  

b)  

c)  

d)  

e

a)  

b)  

c)  

d)  

e)  

f)

g)

h)

2)

a)

b)

c)

d)

e)