Resolver (1/4)^x+4/5+2/5:(2/3)^3

$$( \frac { 1 } { 4 } ) ^ { x } + \frac { 4 } { 5 } + \frac { 2 } { 5 } : ( \frac { 2 } { 3 } ) ^ { 3 }$$

Fatorizar

$$\frac{\frac{20}{\left(2^{x}\right)^{2}}+43}{20}$$

Passos Para a Resolução

Calcule \frac{2}{3} elevado a 3 e obtenha \frac{8}{27}.

$$factor(\left(\frac{1}{4}\right)^{x}+\frac{4}{5}+\frac{\frac{2}{5}}{\frac{8}{27}})$$

Divida \frac{2}{5} por \frac{8}{27} ao multiplicar \frac{2}{5} pelo recíproco de \frac{8}{27}.

$$factor(\left(\frac{1}{4}\right)^{x}+\frac{4}{5}+\frac{2}{5}\times \frac{27}{8})$$

Multiplique \frac{2}{5} e \frac{27}{8} para obter \frac{27}{20}.

$$factor(\left(\frac{1}{4}\right)^{x}+\frac{4}{5}+\frac{27}{20})$$

Some \frac{4}{5} e \frac{27}{20} para obter \frac{43}{20}.

$$factor(\left(\frac{1}{4}\right)^{x}+\frac{43}{20})$$

Decomponha \frac{1}{20}.

$$\frac{20\times \left(\frac{1}{4}\right)^{x}+43}{20}$$

Avaliar

$$\frac{1}{2^{2x}}+\frac{43}{20}$$