Class 8 Math: Exponents and Powers Solved Examples & Step Solutions
NexPro Tools Mathematics TeamJune 5, 20266 min read
The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 8 Exponents and Powers.
Step-by-Step Solved Problems
Example 1: Negative Exponents
Question: Simplify: (2⁻³ * 5⁻³) / 10⁻².
Worked Solution Steps:
- Group terms: (2 * 5)⁻³ / 10⁻² = 10⁻³ / 10⁻².
- Apply division index rule: 10^{-3 - (-2)} = 10^{-3 + 2} = 10⁻¹.
- Convert to fraction: 1/10 = 0.1.
Final Answer: 0.1
Self-Practice Method
When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.
📚 Class 8 Math Resource Hub for Exponents and Powers:
• 🧮 Interactive Solver: Solve Exponents and Powers Problems - Verify steps in real-time.
• 📝 Timed Practice Quiz: Take Exponents and Powers Online Quiz - Test your speed and concepts.
• 📄 Printable Worksheet: Download Exponents and Powers PDF Worksheet - Interactive problems with answers.
• 📐 Formula Sheet: View Exponents and Powers Key Equations - Complete revision references.
• 🔄 Next Topic Guide: Direct and Inverse Proportions Study Notes
• 🎓 Syllabus Overview: Class 8 Mathematics Portal - Access all chapter guides.