Question

Simplify, giving answers with positive index:
$(4x^2{y}^3{)}^3÷(3x^2{y}^3{)}^3$

Answer 1

$(4x^2{y}^3{)}^3÷(3x^2{y}^3{)}^3$

It can be written as

$\frac{4^3{x}^{2\times 3}{y}^{3\times 3}}{3^3{x}^{2\times 3}{y}^{3\times 3}}$

On further calculation

$\frac{4^3{x}^6{y}^9}{3^3{x}^6{y}^9}$

By furthere simplifications

$=\frac{4^3}{3^3}$

$=\frac{64}{27}$