Algebra
Exponent Calculator
Evaluate powers, roots, and scientific notation. Calculate any base raised to any exponent — including negative, fractional, and decimal exponents — with law-of-exponents working.
Examples:
Formula Reference
Linear Equation
ax + b = c → x = (c−b)/a
Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a
Discriminant
Δ = b² − 4ac
Vertex Form
y = a(x−h)² + k
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Solution Methodology
01
Enter Base & Exponent
Input b and n, which may be integer, fraction, decimal, or negative.
02
Classify Exponent Type
Determine if n is positive, negative, or fractional to select the correct rule.
03
Evaluate & Format
Compute bⁿ, display in radical or reciprocal form if applicable, and apply scientific notation for extreme values.
Common Questions
What does a negative exponent mean?
A negative exponent means take the reciprocal: b⁻ⁿ = 1/bⁿ. For example, 2⁻³ = 1/2³ = 1/8 = 0.125. Negative exponents do not make the result negative — they indicate the base is in the denominator.
How do you evaluate a fractional exponent?
A fractional exponent b^(p/q) means the q-th root of bᵖ, written ᵍ√(bᵖ). For example, 8^(2/3) = ³√(8²) = ³√64 = 4. The denominator of the fraction is the root index; the numerator is the power.