Question

6) Sabendo que A= 2^- 4 e B= 4^- 2

calcule o valor de:

a) a + b
b) a : b

Answer 1

$a = 2 {}^{ - 4}$

$b = {4}^{ - 2}$

A)-------------------------------------------------

$a + b = 2 { }^{ - 4} + {4}^{ - 2} = {2}^{ - 3}$

B)-------------------------------------------------

$\frac{a}{b} = \frac{ {2}^{ - 4} }{ {4}^{ - 2} } = 1$

Answer 2

Oie, tudo bom?

a)

$= a + b \\ = 2 {}^{ - 4} + 4 {}^{ - 2} \\ = 2 {}^{ - 4} + (2 {}^{2} ) {}^{ - 2} \\ = 2 {}^{ - 4} + 2 {}^{ - 4} \\ = 2 \: . \: 2 {}^{ - 4} \\ = 2 {}^{1} \: . \: 2 {}^{ - 4} \\ = 2 {}^{1 + ( - 4)} \\ = 2 {}^{1 - 4} \\ = 2 {}^{ - 3} \\ = \frac{1}{2 {}^{3} } \\ = \frac{1}{8} \\ \boxed{ = 0,125}$

b)

$= a \div b \\ = 2 {}^{ - 4} \div 4 {}^{ - 2} \\ = 2 {}^{ - 4} \div (2 {}^{2} ) {}^{ - 2} \\ = 2 {}^{ - 4} \div 2 {}^{ - 4} \\ \boxed{ = 1}$

Att. NLE Top Shotta