Question

Simplify the expression (5x^2/4y^4)^3

Answer 1

With an expression like this, you have to raise all the terms to the 3rd power. So the 5 will become $5^{3}=125$, $x^{2}$ will become $(x^{2} )^3= x^{6}$, the 4 will become $4^{3}=64$ and finally, the $y^{4}$ becomes $(y^{4})^3=y^{12}$. If you place all of these together in the same fraction, the new answer equivalent to the initial expression is $\frac{125x^{6}}{64y^{12}}$