To evaluate the expression, we will simplify the numerator and the denominator separately using the order of operations (PEMDAS/BODMAS).
This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
To evaluate the expression, we will simplify the numerator and the denominator separately using the order of operations (PEMDAS/BODMAS).
The expression is:
$$ \frac{26 + 8^2 + 6^2 - 56 \div 7 \times 2}{3 + 2} $$
Step 1: Simplify the numerator.
$$ 26 + 8^2 + 6^2 - 56 \div 7 \times 2 $$
First, calculate the exponents:
$$ 26 + 64 + 36 - 56 \div 7 \times 2 $$
Next, perform division and multiplication from left to right:
$$ 26 + 64 + 36 - (56 \div 7) \times 2 $$
$$ 26 + 64 + 36 - 8 \times 2 $$
$$ 26 + 64 + 36 - 16 $$
Finally, perform addition and subtraction from left to right:
$$ (26 + 64) + 36 - 16 $$
$$ 90 + 36 - 16 $$
$$ 126 - 16 $$
$$ 110 $$
So, the numerator is $110$.
Step 2: Simplify the denominator.
$$ 3 + 2 $$
$$ 5 $$
So, the denominator is $5$.
Step 3: Divide the simplified numerator by the simplified denominator.
$$ \frac{110}{5} $$
$$ 22 $$
The evaluated expression is:
$$ \boxed{22} $$
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