Powers, Indices & Roots Solver

This solver can evaluate mathematical expressions involving:

• Numbers: Integers (e.g., 5, -3), decimals (e.g., 2.5, -0.75).
• Basic Arithmetic: Addition (+), Subtraction (-), Multiplication (* or ×), Division (/ or ÷).
• Parentheses: () for grouping and controlling the order of operations.
• Exponents (Powers/Indices): Using the ^ operator (e.g., 2^3 for $2^3$, 5^-2 for $5^{-2}$, 16^(1/2) for $16^{1/2}$).
• Roots:
  • Square Roots: sqrt(x) (e.g., sqrt(16) for $\sqrt{16}$).
  • Cube Roots: cbrt(x) (e.g., cbrt(27) for $\sqrt[3]{27}$).
  • N-th Roots (degree first): root(degree, radicand) (e.g., root(3, 8) for $\sqrt[3]{8}$).
  • N-th Roots (radicand first): nthroot(radicand, degree) (e.g., nthroot(81, 4) for $\sqrt[4]{81}$).
• Complex Expressions: Combine any of the above, following standard order of operations (PEMDAS/BEDMAS).

For complex fractions (expressions in the numerator and/or denominator), ensure the entire numerator and the entire denominator are each enclosed in parentheses if they contain operations. For example, to calculate $\frac{3^2 + 4^2}{1 + 2^3}$, enter (3^2+4^2)/(1+2^3). The solver will display such divisions using proper fraction notation in the steps.

For more complex expressions involving solving powers, indices, and roots, use MathCrave AI.