Eight Rules of Exponents and Calculator
Laws of Exponents | Golden Rules of Exponents
An online exponents rule
| Law Name | Law | Example | Rule |
|---|---|---|---|
| One Rule | x1 = x | 91 = 9 | Any number raised to the power of "1" equals itself. |
| Zero Rule | x0 = 1 | 70 = 1 | Any non-zero number raised to the power of zero equals 1 |
| Negative Exponent | x-1 = 1/x | 4-1 = 1/4 | Any non-zero number raised to a negative power equals its reciprocal raised to the opposite positive power. |
| Product Rule | xmxn = xm+n | x2x3 = x2+3 = x5 | When multiplying 2 powers that have the same base, you can add the exponents. |
| Quotient Rule | xm/xn = xm-n | x6/x2 = x6-2 = x4 | Divide 2 powers with the same base by subtracting the exponents |
| Power Rule | (xm)n = xmn | (x2)3 = x2×3 = x6 | Multiply the exponents |
| Tower Rule | anm | 222 = 24 = 16 | Multiply the exponents from the top down. |
| Fraction Rule |  |
Sum can be rewritten using radicals.Denominator of the fraction becomes the index of the radical. |