Evaluate each expression. 10^3

Verified step by step guidance

1. Identify the base and the exponent in the expression. Here, the base is 10 and the exponent is 3.
2. Understand that the exponent indicates how many times the base is multiplied by itself. In this case, 10 is multiplied by itself 3 times.
3. Write the expression as a multiplication of the base: 10 \times 10 \times 10.
4. Calculate the result of the multiplication step by step: first, multiply the first two 10s, then multiply the result by the third 10.
5. The final result is the value of 10 raised to the power of 3.

Key Concepts

Exponents

Exponents represent the number of times a base is multiplied by itself. In the expression 10^3, the base is 10 and the exponent is 3, indicating that 10 is multiplied by itself three times: 10 × 10 × 10. Understanding exponents is crucial for simplifying expressions and performing calculations involving powers.

Base and Power

In exponential expressions, the base is the number being raised to a power, while the power (or exponent) indicates how many times to use the base in multiplication. For example, in 10^3, 10 is the base, and 3 is the power, which helps in determining the value of the expression through repeated multiplication.

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. When evaluating expressions like 10^3, it is important to follow these rules, which prioritize exponents before multiplication or addition, ensuring accurate calculations.