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Chapter 0: Chapter 0

Problem 10

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Calculate each expression in Exencises giving the answer as \(a\) whole mumber or a fraction in lowest terms.\(2+4 \cdot 3^{2}\)

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The simplified expression for \(2+4\cdot3^{2}\) is \(38\).
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TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Identify and apply the order of operations

In the expression \(2+4\cdot3^{2}\), start by performing the exponentiation operation since it has the highest precedence. Specifically, we'll calculate \(3^{2}\).

Step 2: Calculate exponent

Calculate \(3^{2}\) by multiplying \(3\) by itself, resulting in \(3\cdot3 = 9\). Now the expression simplifies to \(2+4\cdot9\).

Step 3: Perform multiplication operation

Next, carry out the multiplication operation: \(4\cdot9 = 36\). The expression now simplifies to \(2 + 36\).

Step 4: Perform addition operation

Finally, perform the addition operation: \(2 + 36 = 38\). The expression \(2 + 4\cdot3^{2}\) simplifies to \(38\).

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