A negative exponent looks like a typo — what could x⁻³ possibly mean? — until you see the pattern in the powers of 10: 10³ = 1000, 10² = 100, 10¹ = 10, 10⁰ = 1, and each step divides by 10. Keep going and the pattern demands 10⁻¹ = 1/10, 10⁻² = 1/100, 10⁻³ = 1/1000. A negative exponent means "take the reciprocal": x⁻ⁿ = 1/xⁿ. That single rule demystifies scientific notation (a microgram is 10⁻⁶ grams), unit conversions, and every formula with a denominator wearing an exponent.

The rule also explains why anything to the zero power is 1: x³/x³ = x^(3−3) = x⁰, and anything divided by itself is 1. Students meet negative exponents when simplifying expressions like (2x⁻³)/(4x⁵) — flip the x⁻³ to the denominator as x³, combine, and simplify to 1/(2x⁸). The classic blunder is flipping the base instead of the exponent's home: 2⁻³ is 1/8, not −8, and the negative never makes the answer negative. This calculator evaluates your negative-exponent expression: enter the base and exponent values and read the result, then confirm with the reciprocal check — multiply your answer by the positive-exponent version and you should get 1.

With the pre-filled defaults — Variable A 10, Variable B 5 — the Negative Exponent Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.