Question

(2/3)elevado a 4 : (2/3) elevado a 2 + (2/3) elevado a 3

Answer 1

Resposta:

20/27

Explicação passo a passo:

(2/3)^4 = 16/81

(2/3)^2 = 4/9

(2/3)^3 = 8/27

16/81 : 4/9 =

16/81 * 9/4 =

144/324 = 4/9

4/9 + 8/27 =

(mmc entre 9 e 27 = 27)

(12+8)?27 =

20/27

Vilmar

Answer 2

Resposta:

20/27

Explicação passo-a-passo:

$( \frac{2}{3}) {}^{4} \div ( \frac{2}{3}) {}^{2} + ( \frac{2}{3}) {}^{3} \\ ( \frac{2}{3}) {}^{4} \div ( \frac{2}{3} ) {}^{2} + ( \frac{2}{3}) {}^{3} \\ ( \frac{2}{3}) {}^{4} \div ( \frac{2}{3}) {}^{2} \\ ( \frac{2}{3}) {}^{4} \times ( \frac{2}{3}) {}^{2} \\ ( \frac{2}{3}) {}^{4 - 2}\\( \frac{2}{3}) {}^{2} \\(\frac{2}{3}) {}^{4} \div (\frac{2}{3}) {}^{2} + ( \frac{2}{3}) {}^{3} \\ ( \frac{2}{3}) {}^{2} + ( \frac{2}{3}) {}^{3} \\ ( \frac{2}{3}) {}^{4} \div ( \frac{2}{3}) {}^{2} + ( \frac{2}{3}) {}^{3} \\ ( \frac{2}{3}) {}^{3} \\ \frac{2 {}^{3} }{3 {}^{3} } \\ \frac{8}{2 {}^{3} } \\ \frac{2 {}^{3} }{2 {}^{3} } \\ \frac{8}{27} \\ ( \frac{2}{3}) {}^{4} \div ( \frac{2}{3}) {}^{2} + ( \frac{2}{3}) {}^{3} \\ ( \frac{2}{3}) {}^{2} + \frac{8}{27} \\ ( \frac{2}{3}){}^{2} \\ \frac{2 {}^{2} }{3 {}^{2} } \\ \frac{4}{3 {}^{2} } \\ \frac{2 {}^{2} }{3 {}^{2} } \\ \frac{4}{9} \\ ( \frac{2}{3}) {}^{2} + \frac{8}{27} \\ \frac{4}{9} + \frac{8}{27} \\ \frac{12 + 8}{27} \\ \frac{20}{27} \\ \frac{4}{9} + \frac{8}{27} \\ \frac{20}{27} \\ resposta \\ \frac{20}{27}$