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Exponent Calculator — Powers, Roots & Scientific Notation for Any Base

Raise any base to any power including negative, fractional, and decimal exponents. Shows expanded form, scientific notation, power-rule breakdown, and.

✓ Formula verified: May 2026

Exponent Calculator

Results below

Enter Values

Result
32

Expanded Form

2 × 2 × 2 × 2 × 2 = 32

Power Rule Breakdown

2^5 = 2^2 × 2^2 × 2^1 = 4 × 4 × 2 = 32

Base Squared (b²)

4

Root (inverse)

5th root of 2 = 1.148698355

Reciprocal (1/result)

0.03125

What if your base (b) changes? 1.8 → 18.89568 · 2 → 32 · 2.2 → 51.53632

Scenario Comparison

Conservative (5%)
$16,470.09
$6,470.09 interest
Your scenario (7%)
$20,096.61
$10,096.61 interest
Aggressive (10%)
$27,070.41
$17,070.41 interest
High-risk (14%)
$40,224.71
$30,224.71 interest
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Step-by-Step Solution

Result

25 = 32

Exponential Curve f(x) = 2x

0246803570105140(5, 32)

Step-by-Step Solution

Power Definition

25 = 2 raised to the 5th power

Expanded Form

2 × 2 × 2 × 2 × 2 = 32

Inverse Root

5th root of 2 = 1.148698355

Exponent Rules

bᵐ × bⁿ

= bm+n

bᵐ ÷ bⁿ

= bm−n

(bᵐ)ⁿ

= bmn

b−n

= 1/bⁿ

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