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Ch. R - Review of Basic Concepts
Lial - College Algebra 13th Edition
Lial13th EditionCollege AlgebraISBN: 9780136881063Not the one you use?Change textbook
Chapter 1, Problem 7

Evaluate each expression. 103

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1
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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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

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.
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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.
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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.
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