Evaluate each expression. See Example 7. 169^1/2

Key Concepts

Square Root

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 169 is 13, since 13 x 13 = 169. In mathematical notation, the square root is represented by the radical symbol (√). Understanding square roots is essential for evaluating expressions involving exponents, particularly those in the form of x^(1/2).

Exponents

Exponents are a way to express repeated multiplication of a number by itself. The expression a^n means 'a multiplied by itself n times.' When the exponent is a fraction, such as 1/2, it indicates a root; specifically, a^(1/2) is equivalent to the square root of a. This concept is fundamental in algebra for simplifying and evaluating expressions.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. When evaluating expressions like 169^(1/2), it is crucial to apply these rules correctly to arrive at the right answer.