   Chapter 1.1, Problem 61E
Textbook Problem

In Exercises 59-62, use the fact that 101/2 ≈ 3.162 and 101/3 ≈ 2.154 to evaluate the expression without using a calculator.61. 102.5

To determine

To evaluate: The expression without using a calculator.

Explanation

Given:

The expression is 102.5 and 10123.162 .

Definition1:

The exponential expression with addition exponents,

am+n=aman

Where,

• a is any real number called base.
• m, n are the integers called exponents.

Calculation:

Use definition 1 and calculate the value,

102

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