Evaluate each expression. 103

Ch. R - Review of Basic Concepts

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Lial 13th Edition

Ch. R - Review of Basic Concepts

문제 7

1장, 문제 7

Evaluate each expression. 10³

검증된 단계별 안내

Identify the expression given: \$10^3$, which means 10 raised to the power of 3.

Recall that an exponent indicates how many times the base (10) is multiplied by itself.

Rewrite the expression as a multiplication: $10 \times 10 \times 10$.

Multiply the numbers step-by-step: first multiply $10 \times 10$, then multiply the result by 10 again.

The final product after these multiplications will be the value of \$10^3$.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Exponents and Powers

An exponent indicates how many times a base number is multiplied by itself. For example, 10^3 means 10 multiplied by itself 3 times: 10 × 10 × 10.

Base Number

The base is the number that is repeatedly multiplied in an expression with an exponent. In 10^3, the base is 10, which is the number being raised to the power.

Evaluating Exponential Expressions

To evaluate an expression like 10^3, multiply the base by itself as many times as the exponent indicates. Here, 10^3 equals 1000 because 10 × 10 × 10 = 1000.