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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.2, Problem 1E

(a)

To determine

**To fill:** The blank in the sentence “Using exponential notation, we can write the product

Expert Solution

The complete sentence is “Using exponential notation, we can write the product

**Definition used:**

*Exponential notation:*

“If *a* is any real number and *n* is a positive integer, then the *a* is *a* is called as the base and *n* is called the exponent”.

**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 determine

**To fill:** The blank in the sentence “In the expression

Expert Solution

The complete sentence is “In the expression

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