CONCEPT PREVIEW Evaluate each expression. 10³

Verified step by step guidance

1. Recognize that the expression 10³ represents 10 raised to the power of 3, which means multiplying 10 by itself three times.
2. Write the expression as a product: \(10 \times 10 \times 10\).
3. Understand that exponentiation is repeated multiplication, so 10³ means 10 multiplied by itself 3 times.
4. Calculate the product step-by-step: first multiply 10 by 10, then multiply the result by 10 again.
5. Express the final answer as the result of the multiplication without calculating the numeric value explicitly.

Key Concepts

Exponents and Powers

Exponents indicate how many times a base number is multiplied by itself. For example, 10³ means 10 × 10 × 10, which equals 1000. Understanding exponents is essential for evaluating expressions involving powers.

Base Number

The base is the number that is repeatedly multiplied in an exponential expression. In 10³, the base is 10. Recognizing the base helps in correctly applying the exponent to compute the value.

Order of Operations

The order of operations dictates the sequence in which mathematical operations are performed. When evaluating powers, exponents are calculated before multiplication or addition, ensuring accurate results.