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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.2, Problem 3E

**(a)**

To determine

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

Expert Solution

The complete statement is “Using exponential notation, we can write

**Formula used:**

*Formula for nth root:*

Where, *a* is any real number called as base and *n* is an integer.

**Calculation:**

The given expression is

Use the above formula and write the exponential notation as shown below.

Thus, the complete statement is “Using exponential notation, we can write

**(b)**

To determine

**To fill:** The blank in the statement “Using radicals, we can write

Expert Solution

The complete statement is “Using radicals, we can write

The given expression is

Use the formula mentioned in sub part (a) and write the given exponential expression in the radical form as shown below.

Thus, the complete statement is “Using radicals, we can write

**(c)**

To determine

Whether there is any difference between the values of

Expert Solution

**Formula used:**

*Formula for nth root:*

Where, *a* is any real number called as base and *n* is an integer.

**Calculation:**

Consider the expression,

Using the above formula and simplify the expression as shown below.

Thus, the value of

Now, consider the expression

Use the above formula and simplify the expression as follows.

Therefore, it can be clearly observed that there is no difference between the values of