Textbook Question
In Exercises 1–12, find each absolute value.|4|
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0. Review of Algebra
Exponents
2:18 minutesProblem 5
Textbook Question
Fill in the blank(s) to correctly complete each sentence. In the expression 63, 6 is the ____ , and 3 is the ____ .
Verified step by step guidance1
Identify the components of the expression \$6^3\(. In an expression of the form \)a^b\(, \)a\( is called the base and \)b$ is called the exponent.
Recognize that the base is the number that is being multiplied by itself, and the exponent tells how many times the base is used as a factor.
In the expression \$6^3$, the number 6 is the base because it is the number being multiplied.
The number 3 is the exponent because it indicates that 6 is multiplied by itself 3 times.
Therefore, complete the sentence: In the expression \$6^3$, 6 is the base, and 3 is the exponent.
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Video duration:
2mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Base in Exponential Expressions
The base in an exponential expression is the number that is multiplied by itself repeatedly. In the expression 6^3, the base is 6, meaning 6 is used as a factor three times.
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Exponent (or Power) in Exponential Expressions
The exponent indicates how many times the base is multiplied by itself. In 6^3, the exponent is 3, which means the base 6 is multiplied three times: 6 × 6 × 6.
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Notation and Terminology of Exponents
Exponential notation uses a small number (exponent) placed above and to the right of the base to show repeated multiplication. Understanding this notation helps in identifying the roles of base and exponent in expressions.
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