Question

Diga se é verdadeiro ou falso, e dê o valor de Y:

Answer 1

Explicação passo-a-passo:

3)

a) V

$\sf a^m\cdot a^n=a^{m+n}$

b) F

$\sf (7^3)^2=7^{3\cdot2}=7^6$

c) F

$\sf 2^{3^2}=2^9$

$\sf (2^3)^2=2^{3\cdot2}=2^6$

d) F

$\sf (5+2)^2=7^2=49$

$\sf 5^2+2^2=25+4=29$

e) V

$\sf \dfrac{a^m}{a^n}=a^{m-n}$

5)

$\sf y=\dfrac{(-5)^2-4^2+\left(\dfrac{1}{5}\right)^0}{3^{-2}+1}$

$\sf y=\dfrac{25-16+1}{\dfrac{1}{9}+1}$

$\sf y=\dfrac{9+1}{\frac{1+9}{9}}$

$\sf y=\dfrac{10}{\frac{10}{9}}$

$\sf y=\dfrac{10}{1}\cdot\dfrac{9}{10}$

$\sf y=\dfrac{90}{10}$

$\sf y=9$