Question

Alguém me ajudar por favor !!!

Answer 1

Explicação:

1)

$\sf E=9^5+9^5+9^5+9^5+9^5+9^5+9^5+9^5+9^5$

$\sf E=9^5\cdot(1+1+1+1+1+1+1+1+1)$

$\sf E=9^5\cdot9$

$\sf E=9^{5+1}$

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

Letra A

2)

$\sf 3^m=81$

$\sf 3^m=3^4$

Igualando os expoentes:

$\sf m=4$

Assim:

$\sf m^3=4^3$

$\sf m^3=4\cdot4\cdot4$

$\sf \red{m^3=64}$

Letra C

3)

$\sf E=27^x+9^x+3^x$

$\sf E=(3^3)^x+(3^2)^x+3^x$

$\sf E=(3^x)^3+(3^x)^2+3^x$

$\sf \red{E=m^3+m^2+m}$

Letra A

4)

$\sf 2^{x+1}\cdot2^{3x+1}=8^{x-1}$

$\sf 2^{x+1+3x+1}=(2^3)^{x-1}$

$\sf 2^{4x+2}=2^{3x-3}$

Igualando os expoentes:

$\sf 4x+2=3x-3$

$\sf 4x-3x=-3-2$

$\sf x=-5$

Assim:

$\sf 6x-1=6\cdot(-5)-1$

$\sf 6x-1=-30-1$

$\sf \red{6x-1=-31}$

Letra D

5)

$\sf E=\dfrac{3^{-1}+5^{-1}}{2^{-1}}$

$\sf E=\dfrac{\frac{1}{3}+\frac{1}{5}}{\frac{1}{2}}$

$\sf E=\dfrac{\frac{5+3}{15}}{\frac{1}{2}}$

$\sf E=\dfrac{\frac{8}{15}}{\frac{1}{2}}$

$\sf E=\dfrac{8}{15}\cdot\dfrac{2}{1}$

$\sf \red{E=\dfrac{16}{15}}$

Letra D

6)

$\sf E=-5^2+(-3)^2-10$

$\sf E=-25+9-10$

$\sf E=-16-10$

$\sf \red{E=-26}$

Letra A