Rational Exponents Simplifier
Unleash the power of exponents! Simplify expressions with fractional powers effortlessly.
Enter Your Expression
Type in an expression with rational exponents. For example: x^(1/2) * x^(3/2) or (27)^(2/3).
Result
Simplification Breakdown
Input Expression:
Simplified Expression: $$ $$
This tool simplifies expressions using the properties of rational exponents, such as:
- $$ (a^m)^n = a^{m \cdot n} $$
- $$ a^m \cdot a^n = a^{m + n} $$
- $$ \frac{a^m}{a^n} = a^{m - n} $$
- $$ a^{-m} = \frac{1}{a^m} $$
By applying these rules, complex expressions are reduced to their simplest forms.
Understanding Rational Exponents
Rational exponents are exponents that are fractions. They connect exponents and roots. For example, $$ x^{1/2} $$ is the square root of x, and $$ x^{1/3} $$ is the cube root of x. In general, $$ x^{m/n} $$ is the nth root of x raised to the power of m.
Simplifying expressions with rational exponents often involves using exponent rules to combine terms, reduce fractions, and eliminate negative exponents. This tool helps you quickly simplify these expressions, making algebra easier and more accessible.