Questions: 5+8 * 2^3-3 * 2=63

5+8 * 2^3-3 * 2=63
Transcript text: $5+8 \cdot 2^{3}-3 \cdot 2=63$
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Solution

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Solution Steps

Step 1: Evaluate the Expression

We start with the expression \( 5 + 8 \cdot 2^{3} - 3 \cdot 2 \). According to the order of operations, we first calculate the exponentiation:

\[ 2^{3} = 8 \]

Substituting this back into the expression gives us:

\[ 5 + 8 \cdot 8 - 3 \cdot 2 \]

Step 2: Perform Multiplications

Next, we perform the multiplications:

\[ 8 \cdot 8 = 64 \quad \text{and} \quad 3 \cdot 2 = 6 \]

Now, substituting these values back into the expression results in:

\[ 5 + 64 - 6 \]

Step 3: Complete the Calculation

Finally, we perform the addition and subtraction:

\[ 5 + 64 = 69 \] \[ 69 - 6 = 63 \]

Final Answer

The original equation \( 5 + 8 \cdot 2^{3} - 3 \cdot 2 = 63 \) holds true, thus confirming that:

\[ \boxed{63} \]

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