Resposta:

Explicação passo a passo:

a

7^11.7^-8=

7^(11-8)=

7^3

b

2^4:2^5=

2^(4-5)=

2^-1

c

(8^-1)^5=

8^-5

d

5^9:5^-3=

5^(9+3)=

5^12

e

8^3.8^-7.8^5=

8^(3-7+5)=

8^(-4+5)=

8^1=

8

g

2^-4:2^-1=

2^(-4+1)=

2^-3=

(1/20^3=

1/8

f

(2^-1)^-3=

2^3=

8

h

3^1.3^6.3^4.3^-10=

3^(-1+6+4-10)=

3^(5+4-10)=

3^(9-10)=

3^-1=

1/3

Verified answer

Resposta:

[tex]\textsf{Leia abaixo}[/tex]

Explicação passo a passo:

[tex]\mathsf{a)\:7^{11}.7^{-8} = 7^{11-8} = 7^3}[/tex]

[tex]\mathsf{b)\:2^{4}:2^{5} = 2^{4-5} = 2^{-1}}[/tex]

[tex]\mathsf{c)\:(8^{-1})^5 = 8^{(-1)\times(5)} = 8^{-5}}[/tex]

[tex]\mathsf{d)\:5^{9}:5^{-3} = 5^{9-(-3)} = 5^{9 + 3} = 5^{12}}[/tex]

[tex]\mathsf{e)\:8^{3}.8^{-7}.8^5 = 8^{3 - 7 + 5} = 8^{1}}[/tex]

[tex]\mathsf{f)\:(2^{-1})^{-3} = 2^{(-1)\times(-3)} = 2^{3}}[/tex]

[tex]\mathsf{g)\:2^{-4}:2^{-1} = 2^{-4-(-1)} = 2^{-4 + 1} = 2^{-3}}[/tex]

[tex]\mathsf{h)\:3^{-1}.3^{6}.3^4.3^{-10} = 3^{-1 + 6 + 4 - 10} = 3^{-1}}[/tex]