   Chapter 1.1, Problem 62E
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.62. (0.0001)−1/3

To determine

To evaluate: The expression without using a calculator.

Explanation

Given:

The expression is (0.0001)13 , The value of expression 10123.162 and 10132.154 .

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.

Difinition2:

The exponential expression with the multiple of the exponent,

(am)n=am.n

Where,

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

Calculation:

Use definition 2 to calculate the value of the exponent,

(0

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