Question

ES DE ALGEBRA AYUDENME

Answer 1

Efectuar.-

$125^{9^{-4^{-2^{-1}}}}\\\\125^{\frac{1}{3}}\\\\\left(5^3\right)^{\frac{1}{3}}\\\\5$

Simplificar.-

$\frac{12\cdot \:120\cdot \:125}{36\cdot \:20\cdot \:375}\\\\\\\frac{12\cdot \:6\cdot \:125}{36\cdot \:375}\\\\\\\frac{6\cdot \:125}{3\cdot \:375}\\\\\\\frac{6}{3\cdot \:3}\\\\\\\frac{3\cdot \:2}{3\cdot \:3}\\\\\\\frac{2}{3}$

si:

$a^{20}b^{60}c^{90}=10^{40}\\\\\\\frac{a^{20}b^{60}c^{90}}{b^{60}c^{90}}=\frac{10^{40}}{b^{60}c^{90}}\\\\\\a=\sqrt[20]{\frac{10^{40}}{b^{60}c^{90}}},\:a=-\sqrt[20]{\frac{10^{40}}{b^{60}c^{90}}}\\\\\\a=\frac{100}{b^3c^4\sqrt{c}},\:a=-\frac{100}{b^3c^4\sqrt{c}}\\\\\\\:b\ne \:0$

Indicar el valor de:

$F=\left(2^{-1}+5^{-1}+\frac{3}{10}\right)^{60^{70}}\\\\\\F=\left(\frac{1}{2}+\frac{1}{5}+\frac{3}{10}\right)^{60^{70}}\\\\\\F=1^{60^{70}}\\\\\\F=1$