Chapter 0: Chapter 0

Problem 1

Evaluate the expressions in Exercises 1-16. $$ 3^{3} $$

Short Answer

Expert verified

The expression $3^3$ evaluates to 27 by following exponentiation rules: $3^3 = 3 \times 3 \times 3 = 9 \times 3 = 27$.

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TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Understand exponentiation

Exponentiation is an operation that raises the base number to the power of an exponent. In general, exponentiation can be represented as $a^n$, where $a$ is the base number, and $n$ is the exponent. The result is obtained by multiplying the base number with itself (n-1) times.

Step 2: Apply exponentiation to the given expression

In the given expression $3^3$, the base number is 3, and the exponent is also 3. According to the exponentiation rule, we need to multiply the base number (3) with itself (3-1 = 2) more times.

Step 3: Calculate the result

To evaluate the expression $3^3$, we will perform the following multiplications: $$ 3^3 = 3 \times 3 \times 3 \\ 3^3 = 9 \times 3 \\ 3^3 = 27 $$ The result of the expression $3^3$ is 27.

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Chapter 0: Chapter 0

Evaluate the expressions in Exercises 1-16. $$ 3^{3} $$

Short Answer

Step by step solution

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Step 1: Understand exponentiation

Step 2: Apply exponentiation to the given expression

Step 3: Calculate the result

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More chapters from the book ‘Finite Mathematics and Applied Calculus’

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Chapter 12

Chapter 13

Chapter 14

Chapter 15

Chapter 16

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