What is the value of the expression 3^3?

What is the value of the expression 3^3?

• A. 6
• B. 9
• C. 27
• D. 81

Answer: (C)

To find the value of the expression \(3^3\), we must understand what exponentiation means. The expression \(3^3\) indicates that the base, which is 3, is multiplied by itself a total of three times. This can be expressed mathematically as: \[ 3^3 = 3 \times 3 \times 3 \] Calculating this step-by-step: 1. First, multiply the first two threes: \[ 3 \times 3 = 9 \] 2. Next, multiply the result by the remaining three: \[ 9 \times 3 = 27 \] Thus, \(3^3\) equals 27. This is why the correct answer is 27, as it accurately represents the total multiplication of three threes together. The other choices (6, 9, and 81) do not correctly reflect the outcome of the multiplication involved in \(3^3\). For example, 9 is just the result of multiplying two threes, and 81 would result from \(3^4\), which involves raising 3 to the fourth power, not the third.

To find the value of the expression (3^3), we must understand what exponentiation means. The expression (3^3) indicates that the base, which is 3, is multiplied by itself a total of three times. This can be expressed mathematically as:

[

3^3 = 3 \times 3 \times 3

]

Calculating this step-by-step:

1. First, multiply the first two threes:

[

3 \times 3 = 9

]

2. Next, multiply the result by the remaining three:

[

9 \times 3 = 27

]

Thus, (3^3) equals 27. This is why the correct answer is 27, as it accurately represents the total multiplication of three threes together.

The other choices (6, 9, and 81) do not correctly reflect the outcome of the multiplication involved in (3^3). For example, 9 is just the result of multiplying two threes, and 81 would result from (3^4), which involves raising 3 to the fourth power, not the third.