X^(3/2)

Definition

This term refers to an expression where x is raised to the power of 3/2 (also known as square root). In other words, it represents taking the square root of x and then raising it to the power of 3.

Related terms

Exponent: An exponent indicates repeated multiplication of a number by itself. In this case, the exponent 3/2 means taking both square root (√) and cube (^3).

Power Rule:

The power rule is a calculus technique used to find derivatives of functions involving exponents. It states that if you have a variable raised to a constant power, you can bring down the exponent as a coefficient and decrease the power by 1.

Rational Exponent: A rational exponent is an exponent expressed as a fraction. It represents taking both roots (numerator) and powers (denominator) of a number.