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Negative Exponent Calculator

Convert a negative exponent into reciprocal form

Negative Exponent Formula

a⁻ⁿ = 1 / aⁿ, a ≠ 0

A negative exponent means the power moves to the reciprocal side of a fraction. The exponent becomes positive after the move. This rule requires a nonzero base because division by zero is undefined.

Note: If the base is 0 and the exponent is negative, the expression is undefined.

How Negative Exponents Work

Identify the negative exponent, move the power across the fraction bar, then write the exponent as positive.

Reciprocal

Negative powers move to the opposite side of a fraction.

Positive Power

The exponent becomes positive after the move.

Nonzero Base

The base cannot be zero for negative exponents.

Decimal Check

Numeric bases can also be evaluated as decimals.

💡 Example: 5⁻³ = 1/5³ = 1/125 = 0.008.

Applications of Negative Exponents

Scientific NotationReciprocalsUnit ConversionAlgebra Simplifying

Frequently Asked Questions

What is a negative exponent calculator?
It rewrites powers with negative exponents into equivalent reciprocal form.
What is the negative exponent formula?
For a nonzero base, a^-n = 1/a^n.
How do I use this calculator?
Enter a base and an exponent, then click Convert Exponent.
Can the base be zero?
No. Zero raised to a negative exponent is undefined because it creates division by zero.
Where are negative exponents used?
They appear in algebra simplification, scientific notation, reciprocal functions, and unit conversions.

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