Exponent Calculator
Instantly compute a = bx and solve for any one of a, b, or x. Live updates + PDF export.
Base (b)
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b
Tip: You can enter fractions like
-3/4.
Exponent (x)
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x
Supports negative and fractional exponents, e.g.
1/3.
Result (a = bx)
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a
Real-time updates: fill any two fields to compute the third.
Step-by-step derivation
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Enter any two values above to see steps here.
Reference table & sources
| Rule | Formula | Example |
|---|---|---|
| Product (same base) | b^m · b^n = b^{m+n} | 5^3·5^2 = 5^5 |
| Quotient (same base) | b^m / b^n = b^{m-n} | 3^7/3^4 = 3^3 |
| Power of a power | (b^m)^n = b^{m·n} | (2^3)^2 = 2^6 |
| Zero exponent | b^0 = 1 (for b ≠ 0) | 7^0 = 1 |
| Negative exponent | b^{-n} = 1/b^n | 5^{-2} = 1/25 |
| Fractional exponent | b^{m/n} = √[n]{b^m} (n ≠ 0) | 8^{2/3} = √[3]{64} = 4 |
Learn more: Wikipedia: Exponentiation