Question

a)100000 * ((-0,1x^3 y^4)^2)^3
b) ((-1/5m^2 n)^2 * 5mp)^3

Answer 1

a)

$100000cdot ((-0,1x^3 y^4)^2)^3=10^5cdot ((-0,1)^2x^6 y^8)^3=10^5cdot (-0,1)^6x^{18} y^{24}=frac{x^{18} y^{24}}{10}$

b)

$((-frac{1}{5}m^2 n)^2cdot 5mp)^3= ((-frac{1}{5})^2m^4 n^2cdot 5mp)^3= (frac{1}{25}m^5 n^2cdot 5p)^3=(frac{1}{5}m^5 n^2p)^3=frac{m^{15}n^6p^3}{125}$