Essential Calculus: Early Transcendentals
Essential Calculus: Early Transcendentals
2nd Edition
ISBN: 9781133112280
Author: James Stewart
Publisher: Cengage Learning
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Chapter T, Problem 1ADT

Evaluate each expression without using a calculator.

  1. (a) (−3)4
  2. (b) −34
  3. (c) 3−4
  4. (d) 523521
  5. (e) (23)2
  6. (f) 16−3/4

(a)

Expert Solution
Check Mark
To determine

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

Answer to Problem 1ADT

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)

Expert Solution
Check Mark
To determine

To evaluate: The expression 34 without using a calculator.

Answer to Problem 1ADT

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)

Expert Solution
Check Mark
To determine

To evaluate: The expression 34 without using a calculator.

Answer to Problem 1ADT

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)

Expert Solution
Check Mark
To determine

To evaluate: The expression 523521 without using a calculator.

Answer to Problem 1ADT

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)

Expert Solution
Check Mark
To determine

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

Answer to Problem 1ADT

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)

Expert Solution
Check Mark
To determine

To evaluate: The expression 1634 without using a calculator.

Answer to Problem 1ADT

The value of the expression 1634 is 18_.

Explanation of Solution

Given expression is 1634.

Obtain the value as follows.

1634=(1614)3=(416)3=(2)3=18

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

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Essential Calculus: Early Transcendentals

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