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Dividing Exponents Calculator

Divide two numerical powers with the same or different bases.

Quotient

4.00000000

Formula

Q = aᵐ / bⁿ; if a = b ≠ 0, Q = aᵐ⁻ⁿ

Quotient ≈ (2)^(5)÷(2)^(3)×((2)÷(2))

How to use

  1. Enter numerator base a and exponent m.
  2. Enter denominator base b and exponent n.
  3. Read the quotient; subtract exponents only when the bases match.

Examples

  • 2⁵/2³ = 4; 3²/2³ = 1.125.

Frequently asked questions

Must the bases match?

No. Different bases are evaluated separately; aᵐ/aⁿ = aᵐ⁻ⁿ applies only to one nonzero base.

Can a base be negative?

Yes, with an integer exponent. Other negative-base powers are outside the real numerical mode.

What happens at zero?

Zero denominator bases, 0⁰, negative powers of zero and nonfinite results are rejected.

Sources

Updated:

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