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Problem 1

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

Short Answer

Expert verified
The expression \(3^3\) is equal to \(3 \times 3 \times 3\), which results in \(27\).
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Step by step solution

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Step 1: Understand the Exponential Expression

In the expression \(3^3\), we have a base of 3 and an exponent of 3. This tells us that we need to multiply the base (3) by itself 3 times.

Step 2: Perform the Multiplication

To evaluate the expression, we need to multiply the base (3) by itself for the quantity indicated by the exponent (3). In other words, we need to compute \(3 \times 3 \times 3\).

Step 3: Calculate the Result

Now, we need to multiply the numbers together: \(3 \times 3 = 9\), and then \(9 \times 3 = 27\). So, the result of the expression \(3^3\) is \(27\).

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