# The expression ( − 3 ) 4 without using a calculator.

### Essential Calculus: Early Transcen...

2nd Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781133112280

### Essential Calculus: Early Transcen...

2nd Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781133112280

(a)

To determine

## To evaluate: The expression (−3)4 without using a calculator.

Expert Solution

The value of the expression (3)4 is 81_.

### Explanation of Solution

Given expression is (3)4.

Obtain the value as follows.

(3)4=(3)×(3)×(3)×(3)=9×9=81

Therefore, the value of the expression (3)4 is 81_.

(b)

To determine

### To evaluate: The expression −34 without using a calculator.

Expert Solution

The value of the expression 34 is 81_.

### Explanation of Solution

Given expression is 34.

Obtain the value as follows.

34=(3×3×3×3)=(9×9)=81

Therefore, the value of the expression 34 is 81_.

(c)

To determine

### To evaluate: The expression 3−4 without using a calculator.

Expert Solution

The value of the expression 34 is 181_.

### Explanation of Solution

Given expression is 34.

Obtain the value as follows.

34=134=13×3×3×3=19×9=181

Therefore, the value of the expression 34 is 181_.

(d)

To determine

### To evaluate: The expression 523521 without using a calculator.

Expert Solution

The value of the expression 523521 is 25_.

### Explanation of Solution

Given expression is 523521.

Obtain the value as follows.

523521=52321(aman=amn)=52=5×5=25

Therefore, the value of the expression 523521 is 25_.

(e)

To determine

### To evaluate: The expression (23)−2 without using a calculator.

Expert Solution

The value of the expression (23)2 is 94_.

### Explanation of Solution

Given expression is (23)2.

Obtain the value as follows.

(23)2=1(23)2=1(2232)=1(49)=94

Therefore, the value of the expression (23)2 is 94_.

(f)

To determine

### To evaluate: The expression 16−34 without using a calculator.

Expert Solution

The value of the expression 1634 is 18_.

### Explanation of Solution

Given expression is 1634.

Obtain the value as follows.

1634=(1614)3=(164)3=(2)3=18

Therefore, the value of the expression 1634 is 18_.

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