# The simplified form of the expression, 216 − 1 3

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 13RE
To determine

## To calculate: The simplified form of the expression, 216−13

Expert Solution

The simplified form of the expression is 16 .

### Explanation of Solution

Given information:

The expression , 21613

Formula used:

The algebraic identity: (at)1t=(a)t×1t=(a)1=1a

Calculation:

Consider the expression, , 21613

Rewrite the expression in the form:

21613=(6)3×13=(6)1=16

Apply the algebraic identity,. : (at)1t=(a)t×1t=(a)1=1a

The above expression can’t be simplified further.

Thus, the simplified form of the expression is . 1a

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