Questions: 3^5 + 3^4 =

3^5 + 3^4 =
Transcript text: $3^{5}+3^{4}=
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Solution

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Solution Steps

To solve the expression \(3^5 + 3^4\), we can factor out the common term \(3^4\) from both terms. This simplifies the expression to \(3^4(3 + 1)\).

Step 1: Identify the Given Expression

We start with the expression \(3^5 + 3^4\).

Step 2: Factor Out the Common Term

We can factor out the common term \(3^4\) from both terms: \[ 3^5 + 3^4 = 3^4 \cdot 3 + 3^4 = 3^4 (3 + 1) \]

Step 3: Simplify the Expression

Simplify the expression inside the parentheses: \[ 3^4 (3 + 1) = 3^4 \cdot 4 \]

Step 4: Calculate the Values

Calculate the values of \(3^4\) and \(3^4 \cdot 4\): \[ 3^4 = 81 \] \[ 3^4 \cdot 4 = 81 \cdot 4 = 324 \]

Final Answer

\[ \boxed{324} \]

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