Question
(4) \( \left(8^{2}+36\right) \div\left(4 \times 5^{2}\right) \)
Ask by King Summers. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The result is 1.
Solution
1. Compute the exponent in the numerator:
\[
8^2 = 64
\]
2. Add the constant to the result in the numerator:
\[
64 + 36 = 100
\]
3. Compute the exponent in the denominator:
\[
5^2 = 25
\]
4. Multiply by 4 to complete the denominator:
\[
4 \times 25 = 100
\]
5. Divide the numerator by the denominator:
\[
\frac{100}{100} = 1
\]
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Simplify this solution Extra Insights
Let’s break down this expression step by step to ensure we arrive at the correct answer! First, we simplify what's inside the parentheses: 1. \( 8^2 = 64 \), so \( 64 + 36 = 100 \). 2. \( 5^2 = 25 \), so \( 4 \times 25 = 100 \). Now, substitute these results back into the expression: \[ (100) \div (100) \] This simplifies to: \[ 1 \] So, the final answer is \( 1 \).
