In Exercises 83–90, evaluate each expression without using a calculator. 36^(1/2)

Key Concepts

Exponents

Exponents are a mathematical notation indicating the number of times a number, known as the base, is multiplied by itself. In the expression 36^(1/2), the exponent 1/2 signifies the square root of the base, which is 36. Understanding exponents is crucial for simplifying expressions and performing operations involving powers and roots.

Square Roots

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 36 is 6, since 6 * 6 = 36. Recognizing how to compute square roots is essential for evaluating expressions involving fractional exponents, particularly those with a denominator of 2.

Radical Notation

Radical notation is a way to express roots using the radical symbol (√). The expression 36^(1/2) can also be written as √36. Understanding radical notation helps in recognizing and simplifying expressions involving roots, making it easier to evaluate them without a calculator.