Algebra

Exponents, roots, polynomials, and equation solvers — the core algebra calculators for simplifying and solving expressions.

• Absolute Value Calculator

  Find the absolute value of any number, or the distance between two numbers, with exact step-by-step math and an answer that is never negative.

• Completing the Square Calculator

  Solve ax² + bx + c = 0 by completing the square. See the vertex form a(x − h)² + k, the 9-step method, and the exact roots with decimals.

• Cube Calculator

  Calculate x cubed (x³) for any integer, negative, or decimal number, with full step-by-step working and the sign rule for negative numbers explained.

• Cube Root Calculator

  Find the cube root of any number as an exact simplified radical (like 3∛2) plus a decimal value, including perfect cubes and negative inputs.

• Cubic Equation Calculator

  Solve any cubic equation ax³ + bx² + cx + d = 0. Get all three roots — real and complex — with steps, plus a Vieta's formulas check.

• Difference of Two Squares Calculator

  Factor a difference of two squares a² − b² into (a + b)(a − b). Enter the two square values to see the factored binomials and a step-by-step check.

• Dot Product Calculator

  Calculate the dot product of two vectors: multiply matching components, add the results, and see the exact scalar answer with full steps.

• Exponents Calculator

  Calculate x raised to the power n for any integer, negative, or decimal base, with full step-by-step working and the sign-trap explained.

• Fifth Root Calculator

  Find the fifth root of any number as an exact simplified radical (like 3⁵√2) plus a decimal value, including perfect fifth powers and negative inputs.

• FOIL Calculator

  Multiply two binomials (ax + b)(cx + d) with the FOIL method. See First, Outer, Inner, Last products, combined like terms, and the expanded polynomial.

• Fourth Root Calculator

  Find the fourth root of any number as an exact simplified radical (like 2⁴√3) plus a decimal value, including perfect fourth powers and negative inputs.

• Large Exponents Calculator

  Compute base raised to a huge exponent as an exact BigInt — every digit shown up to 10,000 digits, or scientific notation with the digit count beyond that.

• Logarithm Calculator (log base b of x)

  Calculate log base b of x for any positive value and base, including common (base 10), natural (base e), and binary (base 2) logs, with steps.

• Quadratic Formula Calculator

  Solve any quadratic equation ax² + bx + c = 0 with the quadratic formula. Get exact roots as simplified radicals or complex numbers, plus the discriminant.

• Fractional Exponents Calculator (Rational Exponents)

  Compute a fractional exponent x^(n/d) as an exact simplified radical plus a decimal approximation, bridging powers and roots with full step-by-step work.

• Radicals Calculator (Nth Root)

  Find the nth root of any number for a chosen index (2-20) as an exact simplified radical plus a decimal, including negative and imaginary results.

• Simplify Radicals Calculator

  Simplify y times the nth root of x into its exact reduced radical form with step-by-step prime factorization, including negative and imaginary results.

• Solve for Exponents Calculator (bⁿ = y)

  Solve b^n = y for the unknown exponent n given any positive base (other than 1) and positive result, using logarithms, with full steps shown.

• Square Calculator

  Calculate x squared (x²) for any integer, negative, or decimal number, with full step-by-step working and the sign rule for negative numbers explained.

• Square Root Calculator

  Find the square root of any number as an exact simplified radical (like 2√11) plus a decimal value, including perfect squares and negative inputs.