Question

100:(10 a la 2 - 5 a la 2 × 3)-raiz cubica de 1000:10 a la tres

RESOLVER CON LAS PROPIEDADES​

Answer 1

Explicación paso a paso:

100:(10 a la 2-5 a la 2x3)-raiz cúbica de 1000:10 a la 3

$=100:(10^{2}-5^{2}*3)-\sqrt[3]{1000}:10^{3}$

$\frac{100}{(10^{2}-5^{2}*3)-\frac{\sqrt[3]{1000}}{10^{3}}$

$10^{2}=100$

$5^{2}=25$

$\sqrt[3]{1000}=100$

$10^{3}=1000$

$\frac{100}{(10^{2}-5^{2}*3)-\frac{\sqrt[3]{1000}}{10^{3}}}=\frac{100}{(100-25*3)-\frac{100}{1000}}=\frac{100}{(100-75)-\frac{1}{10}}$

$=\frac{100}{25-\frac{1}{10}}=\frac{100}{\frac{249}{10}}=\frac{(10)(100)}{249}=\frac{1000}{249}$