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9. \\frac{2^5 \\div 8 + 3}{4 + 3}

Question

  1. \frac{2^5 \div 8 + 3}{4 + 3}

Explanation:

Step1: Calculate the numerator's exponentiation

First, calculate \(2^5\). By the definition of exponentiation, \(2^5 = 2\times2\times2\times2\times2 = 32\).
So the numerator becomes \(32\div8 + 3\).

Step2: Calculate the numerator's division and addition

Next, perform the division in the numerator: \(32\div8 = 4\). Then add 3: \(4 + 3 = 7\).

Step3: Calculate the denominator

Now, calculate the denominator: \(4 + 3 = 7\).

Step4: Divide numerator by denominator

Finally, divide the numerator by the denominator: \(\frac{7}{7}=1\).

Answer:

\(1\)