Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
0. Review of Algebra
Exponents
2:03 minutes
Problem 7a
Textbook Question
Textbook QuestionEvaluate each expression. 10^3
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
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.
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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.
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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.
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