Question

me podrían ayudar por favorr​

Answer 1

Respuesta:

ESPERO TE SIRVA :3

Explicación paso a paso:

$\frac{\left(a^2bc^3\right)^4\left(a^{-2}b\right)^{-2}}{\left(a^3b^{-2}\right)^2\left(b^2c^3\right)^3\left(a^{-3}b\right)^{-1}}$

$\mathrm{Factorizar}\:\left(a^2bc^3\right)^4:\quad a^8b^4c^{12} \\\mathrm{Factorizar}\:\left(a^3b^{-2}\right)^2:\quad\frac{1}{b^4}a^6 \\\mathrm{Factorizar}\:\left(b^2c^3\right)^3:\quad b^6c^9 \\\mathrm{Factorizar}\:\left(a^{-2}b\right)^{-2}:\quad a^4b^{-2} \\\mathrm{Factorizar}\:\left(a^{-3}b\right)^{-1}:\quad a^3b^{-1}$

$=\frac{a^8a^4b^{-2}b^4c^{12}}{\frac{1}{b^4}a^6a^3b^{-1}b^6c^9}$

$\\a^8b^4c^{12}a^4b^{-2}=c^{12}a^{12}b^2 \\\\a^6\frac{1}{b^4}b^6c^9a^3b^{-1}=\frac{1}{b^4}c^9a^9b^5$

$=\frac{a^{12}b^2c^{12}}{\frac{1}{b^4}a^9b^5c^9}$

$\mathrm{Cancelar\:}\frac{c^{12}a^{12}b^2}{\frac{1}{b^4}c^9a^9b^5}:\quad\frac{a^3c^3}{\frac{1}{b^4}b^3} =\frac{a^3c^3}{\frac{1}{b^4}b^3}$

$=\frac{a^3c^3}{\frac{1}{b^4}b^3}$

$\mathrm{Multiplicar\:}\frac{1}{b^4}b^3\::\quad\frac{1}{b} =\frac{a^3c^3}{\frac{1}{b}}$

$=\frac{a^3c^3}{\frac{1}{b}}$

$\mathrm{Aplicamos\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}$

$=\frac{a^3c^3b}{1}$

$\mathrm{Aplicamos\:la\:regla}\:\frac{a}{1}=a$

$=a^3bc^3$

R = Es el literal "B"