
Concept explainers
- (a) Using exponential notation, we can write the product 5 · 5 · 5 · 5 · 5 · 5 as __________.
- (b) In the expression 34 the number 3 is called the __________, and the number 4 is called the __________.
(a)

To fill: The blank in the sentence “Using exponential notation, we can write the product
Answer to Problem 1E
The complete sentence is “Using exponential notation, we can write the product
Explanation of Solution
Definition used:
Exponential notation:
“If a is any real number and n is a positive integer, then the
Calculation:
Consider the given product which is
Observe that, in the given product the number 5 is multiplied 6 times.
Therefore, by the above definition it can be noted that, here the base is 5 and the exponent is 6.
Therefore, substitute
Thus, the exponential notation of the product
Therefore, the complete sentence is “Using exponential notation, we can write the product
(b)

To fill: The blank in the sentence “In the expression
Answer to Problem 1E
The complete sentence is “In the expression
Explanation of Solution
The given expression is
Use the definition given in part (a) and rewrite
That is, here the number 3 is repeated 4 times.
Therefore, by the definition of exponential notation it can be noted that the number 3 is the base and the number 4 is the exponent.
Thus, the complete statement is “In the expression
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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