🎓 Mathematics • Algebra
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Exponent Calculator
Evaluates powers xʸ, negative exponents (x⁻ⁿ = 1/xⁿ), fractional powers, and scientific notation.
Exponent & Power Calculator (xʸ)
Compute powers with positive, negative, and fractional exponents.
Presets:
^
Evaluated Value (28)
256
Scientific Notation2.5600e+2
Square Root of Base√2 = 1.4142
Step Explanation
Repeated Multiplication: 2^8 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256
Laws of Exponents Quick Reference
Product: aᵐ × aⁿ = aᵐ⁺ⁿ
Quotient: aᵐ / aⁿ = aᵐ⁻ⁿ
Power of Power: (aᵐ)ⁿ = aᵐⁿ
Negative: a⁻ⁿ = 1 / aⁿ
What are Exponents?
An exponent denotes repeated multiplication of a base number by itself.
Exponents model compound interest, population expansion, computer memory, and nuclear decay.
Formula & Step-by-Step Calculation
xʸ = x × x × ... × x (y times)
Positive power rule and negative power inverse rule.
Worked Step-by-Step Examples
Example 1
Evaluate 3⁴
Solution: 81
• 3 × 3 × 3 × 3 = 81
Common Real-World & Academic Use Cases
- ✓ Compound interest calculations
- ✓ Computer bit calculations (2ⁿ)
- ✓ Scientific scale conversion
How to Use the Exponent Calculator
1
Input Base & Power
Enter x and y.
2
View Value
Inspect calculated number and scientific notation.
Frequently Asked Questions
Q: What is a fractional exponent?
A fractional exponent x^(1/n) represents the n-th root of x.