Math & Algebra Tool
Fraction Exponents
Solve expressions where the power is a fraction (Radicals with powers).
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Mathematical Equivalence: (16)^3/4 is the same as the 4th root of 16 raised to the 3.
Σ The Formula
x^(n/d) = (ᵈ√x)ⁿ
Real World Examples
Standard Case
16^(3/4) = (∜16)³ = 2³ = 8.
Basic Radical
9^(1/2) = √9 = 3.
# About This Calculator
Fractional Exponents are an alternative notation for radicals (roots). The denominator of the exponent indicates the degree of the root, while the numerator indicates the power to which the result is raised.
This calculator handles:
- Roots: When the numerator is 1.
- Powers of Roots: When both numerator and denominator are provided.
- Decimals: When the base is not an integer.
How To Use
- Enter the **Base Number**.
- Enter the **Numerator** of the exponent.
- Enter the **Denominator** of the exponent (e.g., 2 for square root).
- The tool calculates the Power and the Root simultaneously.
Frequently Asked Questions
What if the base is negative?+
If the denominator is even (like 2, 4, 6), the result is a complex number and will return an error in this real-value solver.
Is Fraction Exponents free to use?+
Yes, Fraction Exponents on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Fraction Exponents?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Fraction Exponents are accurate for academic and professional use.
Can I use Fraction Exponents on my phone?+
Yes! Fraction Exponents is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.
Do you save my data?+
No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.
How do I report a bug?+
If you notice any issues with Fraction Exponents or have suggestions for improvement, please contact us via the link in the footer. We value your feedback!
About
Fractional Exponents are an alternative notation for radicals (roots). The denominator of the exponent indicates the degree of the root, while the numerator indicates the power to which the result is raised.
This calculator handles:
- Roots: When the numerator is 1.
- Powers of Roots: When both numerator and denominator are provided.
- Decimals: When the base is not an integer.