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Problem 10

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

Expert verified
The simplified expression for $$2+4\cdot3^{2}$$ is $$38$$.
See the step by step solution

## 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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