Here are all the formulas you need in order to succeed in the course. Mastering these formulas will save you a lot of time in solving exercises and will help you avoid unnecessary calculation errors 🙂
1. Multiplication:
{(xy)}^n=x^n y^n
x^n x^m=x^{n+m}
2. Division:
{(\frac{x}{y})}^n=\frac{x^n}{y^n}
\frac{x^n}{x^m}=x^{n-m}
3. Powers:
{(x^n)}^m=x^{nm}
x^{-n}=\frac{1}{x^n}
x^0=1
4. Roots:
x^{\frac{n}{m}}=\sqrt[m]{x^n}
x^{\frac{n}{m}}=\sqrt[m]{x^n}
\sqrt[n]{xy}=\sqrt[n]{x}\sqrt[n]{y}
\sqrt[n]{\frac{x}{y}}=\frac{\sqrt[n]{x}}{\sqrt[n]{y}}
Press here for exercises and solutions in Powers and Roots