Power Equation Explicit Solution
Power Equation Explicit Solution
\[x=\left(\frac{y}{a}\right)^{\frac{1}{n}}\]
Variables
x = solution variable
y = result value
a = power coefficient
n = power exponent
Description
What is this formula?
This formula explicitly solves a power equation of the form:
y=ax^n
It calculates the value of x by applying the inverse power operation.
When to use it
Use this formula when solving equations where the unknown variable is raised to a power.
Example
For:
49=7x²
The solution is:
x=\sqrt{7}
Applications
- Algebra and mathematics
- Engineering calculations
- Geometry formulas
- Physics equations
- Scientific analysis
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