In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 3^√5

Key Concepts

Exponents and Roots

Exponents represent repeated multiplication of a number, while roots indicate the inverse operation. In the expression 3^√5, the base is 3, and the exponent is the square root of 5. Understanding how to manipulate exponents and roots is crucial for evaluating expressions involving them.

Calculator Functions

Using a calculator effectively requires familiarity with its functions, especially for operations involving exponents and roots. Most scientific calculators have specific buttons for exponentiation and square roots, which allow for accurate computation of expressions like 3^√5. Knowing how to input these operations is essential for obtaining the correct result.

Rounding Numbers

Rounding is the process of adjusting a number to a specified degree of precision, in this case, to three decimal places. This involves looking at the digit in the fourth decimal place to determine whether to round up or down. Mastery of rounding is important for presenting numerical results clearly and accurately, especially in mathematical contexts.