In Exercises 1–10, approximate each number using a calculator. Round your answer to three decimal places. 2^3.4

Key Concepts

Exponents

Exponents represent repeated multiplication of a number by itself. In the expression 2^3.4, the base is 2, and the exponent is 3.4, indicating that 2 is multiplied by itself 3.4 times. Understanding how to manipulate exponents is crucial for evaluating expressions involving powers.

Calculator Functions

Using a calculator effectively requires familiarity with its functions, especially for operations involving exponents. Most scientific calculators have a specific button for exponentiation, allowing users to input both the base and the exponent directly. Knowing how to round results to a specified number of decimal places is also essential for accuracy.

Rounding Numbers

Rounding is the process of adjusting a number to a specified degree of accuracy, often to make it simpler or more understandable. In this case, rounding to three decimal places means keeping three digits after the decimal point and adjusting the last digit based on the value of the next digit. This concept is important for presenting numerical results clearly and concisely.