superscript
Algebra
Exponential Rules Cheat Sheet
Complete exponent rules cheat sheet with product rule, quotient rule, power rule, zero exponent, negative exponents. Free PDF download.
Basic Exponent Rules
| Name | Formula | Notes |
|---|---|---|
| Product Rule | Same base: add exponents | |
| Quotient Rule | Same base: subtract exponents | |
| Power Rule | Power of power: multiply exponents | |
| Product to Power | Distribute exponent to product | |
| Quotient to Power | Distribute exponent to quotient |
Special Exponents
| Name | Formula | Notes |
|---|---|---|
| Zero Exponent | Any nonzero base to 0 is 1 | |
| Exponent of 1 | ||
| Negative Exponent | Reciprocal | |
| Negative in Denominator | Move to numerator |
Fractional Exponents
| Name | Formula | Notes |
|---|---|---|
| Square Root | ||
| Cube Root | ||
| nth Root | ||
| General Fractional |
Exponential Functions
| Name | Formula | Notes |
|---|---|---|
| Natural Exponential | e ≈ 2.71828 | |
| Exponential Growth | k > 0 for growth | |
| Exponential Decay | k > 0 for decay | |
| Compound Interest | n = compounding periods | |
| Continuous Compounding | Limit as n → ∞ |
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