Question

Simplify -4x^3 x 2y^-2 x 5y^5 x x^-8

Answer 1

$-4x^3\cdot \:2y^{-2}\cdot \:5y^5x^{-8}$ 

$=2\cdot \:4\cdot \:5\cdot \dfrac{1}{y^2}x^{-8}x^3y^5$ 

$=2\cdot \:4\cdot \:5\cdot \dfrac{1}{x^8}\cdot \frac{1}{y^2}x^3y^5$ 

$=-\dfrac{1\cdot \:1\cdot \:4x^3\cdot \:2\cdot \:5y^5}{y^2x^8}$ 

$=-\dfrac{2\cdot \:4\cdot \:5x^3y^5}{x^8y^2}$ 

$=-\dfrac{40x^3y^5}{x^8y^2}$ 

$=\dfrac{40y^5}{x^5y^2}$ 

$=-\dfrac{40y^3}{x^5}$