es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplificar-(5a^2bc)^2*(5abc)^{-3}

Solución

simplificar

- (5 a^{2} b c)^{2} \cdot (5 ab c)^{- 3}

Solución

- \frac{a}{5 b c}

Pasos de solución

- (5 a^{2} b c)^{2} (5 ab c)^{- 3}

Simplificar

(5 a^{2} b c)^{2} : 25 a^{4} b^{2} c^{2}

= - 25 a^{4} b^{2} c^{2} (5 ab c)^{- 3}

Simplificar

(5 ab c)^{- 3} : \frac{1}{125 a ^{3} b ^{3} c ^{3}}

= - 25 a^{4} b^{2} c^{2} \frac{1}{125 a ^{3} b ^{3} c ^{3}}

Aplicar las propiedades de las fracciones:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{25 a ^{4} b ^{2} c ^{2} \cdot 1}{125 a ^{3} b ^{3} c ^{3}}

Multiplicar los numeros:

25 \cdot 1 = 25

= - \frac{25 a ^{4} b ^{2} c ^{2}}{125 a ^{3} b ^{3} c ^{3}}

Descomponer el número en factores primos:

125 = 25 \cdot 5

= - \frac{25 a ^{4} b ^{2} c ^{2}}{25 \cdot 5 a ^{3} b ^{3} c ^{3}}

Eliminar los terminos comunes:

25

= - \frac{a ^{4} b ^{2} c ^{2}}{5 a ^{3} b ^{3} c ^{3}}

Simplificar

\frac{a ^{4}}{a ^{3}} : a

= - \frac{a b ^{2} c ^{2}}{5 b ^{3} c ^{3}}

Simplificar

\frac{b ^{2}}{b ^{3}} : \frac{1}{b}

= - \frac{a c ^{2}}{5 b c ^{3}}

Simplificar

\frac{c ^{2}}{c ^{3}} : \frac{1}{c}

= - \frac{a}{5 b c}

Ejemplos populares

∣ x - 2 ∣ = 7

x^{2} + 14 x + 50 = 0

2 \leq 3 - 2 (x + 1) < 8

simplificar sqrt(9^2+12^2)simplificar

9^{2} + 1 2^{2}

121 x^{2} + 24 x + 2 = 0