   Chapter 1.1, Problem 21E
Textbook Problem

In Exercises 7–22, evaluate the expression.21. 161/4 · 8−1/3

To determine

To find: The value of an expression 1614×813 .

Explanation

Given:

The expression is 1614×813 .

Formula used:

(a1n)n=a

Here,

• a is the smallest prime number.
• n is the power of that number.

Calculation:

In the above problem of fractional exponent, first convert it into the smallest prime form and then use the rule of fractional exponent.

In any condition, if there is any negative power number, then make it into the denominator and then convert it into smallest prime form

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