Final: Three Rules, One Line

When an expression uses several exponent rules, work from the inside out. First simplify the power of a power by multiplying the exponents. Then multiply the powers with the same base by adding their exponents. Then divide by subtracting the exponents.

For $\frac{\left(x^{2}\right)^{3}x}{x^{4}}$: the power of a power gives $\left(x^{2}\right)^{3} = x^{6}$. The product gives $x^{6}x = x^{7}$, because $x$ on its own has exponent 1. The quotient gives $\frac{x^{7}}{x^{4}} = x^{3}$.