Calcscape

Exponent Calculator

b^e with a transparent power. Click any i for detail.

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Power

Base b
i
Base

Any real number. Negative bases with fractional exponents may be undefined here.
Exponent e
i
Exponent

Can be fractional.

How to use this calculator

  1. Enter base b and exponent e.
  2. Read b raised to the e power.
  3. Use fractional e for roots when b is non-negative.
  4. Check the breakdown for ln-based paths when needed.

Results explained

Uses real powers via Math.pow. Negative bases with fractional exponents may be undefined in reals and show an error.

Quick reference: powers

2⁸ = 256; 9^0.5 = 3.

ItemDetail
Integer erepeat multiply
e = 0b⁰ = 1 (b ≠ 0)
e = 1/2square root for b ≥ 0
Negative e1 / b^|e|

Complex results are not shown.

How the estimate is built

result = b^e.

Example scenario

2⁸ → 256.

FAQ

How do I take a square root?

Use exponent 0.5 on a non-negative base.

Why is (-8)^(1/3) tricky?

Fractional powers on negative bases need odd denominators; this page uses real Math.pow rules.

Are logs the inverse?

Yes. log_b(b^e) = e when defined.