Question

Упростить выражение
(10х^4y^-3)^4 / 10x^8 * (25x^2y^-2)^3

Answer 1

$frac{(10x^4y^{-3})^4}{10x^8*(25x^2y^{-2})^3}= frac{10^4x^{16}y^{-12}}{10x^8*25^3x^6y^{-6}}= frac{10^3x^{16}}{x^{14}y^{-6+12}*(5^2)^3}= frac{2^3*5^3x^{16-14}}{y^6*5^6}=\\= frac{8x^2}{5^{6-3}y^6}= frac{8x^2}{5^3y^6}= frac{8x^2}{125y^6}$