Mathematics

Power Calculator

Exponent Calculator

Base (b)

Exponent (n)

What is Power Calculator?

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A power calculator computes electrical power (watts), and can find any unknown from P=VI, P=I²R, or P=V²/R. Also converts between watts, kilowatts, horsepower, and BTU/hr.

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Formula

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f(x)Power = base^exponent; bⁿ = b × b × b... (n times); b⁰ = 1; b⁻ⁿ = 1/bⁿ

Variable Legend

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Symbol	Name	Unit	Description
b	Base	number	—
n	Exponent	count	—
P	Result	value	—

How to Power Calculator

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1P = V × I (Power = Voltage × Current)
2P = I² × R (using current and resistance)
3P = V² / R (using voltage and resistance)
41 kW = 1,000 W; 1 HP = 745.7 W; 1 BTU/hr = 0.293 W

Worked Examples

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Example 1

Given:Kettle: 230V, 10A

Result:P = 230 × 10 = 2,300W = 2.3 kW

Real-World Applications

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Scientific calculations

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Computer science (binary, byte sizes)

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Physics and engineering

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Financial compound growth

Power Unit Conversions

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Unit	Watts equivalent	Common use
1 Watt	1 W	Base SI unit
1 Kilowatt	1,000 W	Appliances, electricity bills
1 Megawatt	1,000,000 W	Power stations
1 Horsepower	745.7 W	Engines, motors
1 BTU/hr	0.293 W	Heating/cooling

Frequently Asked Questions

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What does 2^10 equal?

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1024.

How do negative exponents work?

2⁻³ = 1/2³ = 1/8 = 0.125. Negative exponent = reciprocal.

What's the difference between 2^3 and 3^2?

2³ = 8 (2 × 2 × 2). 3² = 9 (3 × 3). Order matters.

References

›Electrical power — Engineering ToolBox

Mathematically verified

Reviewed October 2026

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