simplificar 1/2*(1/4)^2

Solución

simplificar

\frac{1}{2} \cdot (\frac{1}{4})^{2}

\frac{1}{32}

Notación decimal

0.03125

Pasos de solución

\frac{1}{2} (\frac{1}{4})^{2}

Descomponer el número en factores primos:

\frac{1}{4} = (\frac{1}{2})^{2}

= \frac{1}{2} ((\frac{1}{2})^{2})^{2}

Aplicar las leyes de los exponentes:

(a^{b})^{c} = a^{b c}, a \geq 0

((\frac{1}{2})^{2})^{2} = (\frac{1}{2})^{2 \cdot 2}

= \frac{1}{2} (\frac{1}{2})^{2 \cdot 2}

Multiplicar los numeros:

2 \cdot 2 = 4

= \frac{1}{2} (\frac{1}{2})^{4}

Aplicar las leyes de los exponentes:

a^{b} \cdot a^{c} = a^{b + c}

\frac{1}{2} (\frac{1}{2})^{4} = (\frac{1}{2})^{1 + 4}

= (\frac{1}{2})^{1 + 4}

Sumar:

1 + 4 = 5

= (\frac{1}{2})^{5}

Aplicar las leyes de los exponentes:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{5}}{2 ^{5}}

1^{5} = 1

= \frac{1}{2 ^{5}}

2^{5} = 32

= \frac{1}{32}

ln (- 2)

(8 a^{3} b^{\frac{3}{2}})^{\frac{2}{3}}

x - \frac{y}{\frac{x}{y} + \frac{y}{x}}

8 - \frac{x}{2} \leq 10

6 - 5 ∣ 4 x + 3 ∣ = - 19