Laws of Indices
Simplifying calculations by involving indices.
| Law | Formula | Description |
|---|---|---|
| 1 | x^y × x^z = x^(y + z) | Multiplying two or more numbers with the same base |
| 2 | x^y ÷ x^z = x^(y - z) | Dividing numbers with the same base |
| 3 | (x^y)^z = x^(y × z) | Raising a power to a power |
| 4 | x^0 = 1 | Number with index 0 |
| 5 | x^(-y) = 1 / x^y | Number raised with negative index |
| 5b | 1 / x^(-y) = x^y | Reciprocal of negative index |
| 6 | x^(y/z) = (x^y)^(1/z) | Number raised with a fractional index |