fbpx
calculus online - Free exercises and solutions to help you succeed!

Powers and Roots Rules

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

Share with Friends

Leave a Reply