Question
4.2.2 \( (-6)^{2} \div(-10)^{2} \)
Ask by Summers Santiago. in South Africa
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\frac{9}{25}
\]
Solution
1. Begin by computing the squares:
- \( (-6)^2 = 36 \)
- \( (-10)^2 = 100 \)
2. Substitute the squared values into the expression:
- \( (-6)^{2} \div (-10)^{2} = \frac{36}{100} \)
3. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor (which is 4):
- \( \frac{36 \div 4}{100 \div 4} = \frac{9}{25} \)
Final answer:
\[
\frac{9}{25}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
First, let's break it down into bite-sized pieces! When you calculate \( (-6)^2 \), you get 36, and for \( (-10)^2 \), you get 100. So the expression simplifies to \( 36 \div 100 \). Now, for the final answer: \( 36 \div 100 = 0.36 \). Easy peasy! So, the answer to \( (-6)^{2} \div(-10)^{2} \) is \( 0.36 \).
