How to Solve Exponential Subtraction 2^100 - 2^99 - 2^98 = ? | Math Olympiad Training | Canada

Welcome to SciMarvels! In this video, we solve a challenging math Olympiad problem involving exponential equations to find the value of X. Watch as we solve the problem step-by-step on paper, providing a clear and detailed explanation without any voiceover. This unique approach allows you to focus entirely on the math and understand the process visually.
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✅ Key Concepts Covered
• Exponential Equations
• Algebraic Manipulations
• Problem-Solving Strategies
• Exponential Subtraction
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✅ Detailed Steps
We begin with the problem: If X = 2^100 - 2^99 - 2^98, find X.
1. Rewrite the exponents with common bases:
X = 2^100 - 2^99 - 2^98
2. Factor out the common terms:
X = 2^98 (2^2) - 2^98 (2^1) - 2^98
X = 2^98 (4) - 2^98 (2) - 2^98
3. Combine the like terms:
X = 2^98 (4 - 2 - 1)
4. Simplify the expression within the parentheses:
4 - 2 - 1 = 1
5. Substitute back to simplify the final expression:
X = 2^98 * 1
Therefore, the value of X is: X = 2^98
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✅ Learning Outcomes
By the end of this video, you will:
• Understand how to manipulate and simplify exponential equations.
• Learn to factor out common exponential terms.
• Gain skills in algebraic manipulation and problem-solving strategies.
• Develop a deeper understanding of how to approach and solve complex math problems.
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✅ Also you can see:
   • How to Solve Math Olympiad problems |...  
   • How to Solve Math Olympiad Problems |...  
   • How to solve 7^x + 7^x + 7^x = 777 | ...  
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At SciMarvels, we are dedicated to making complex math and physics problems accessible and enjoyable. Our unique approach of solving problems without voiceovers allows you to concentrate solely on the math, fostering a deeper understanding. Subscribe to join a community of learners who are passionate about mastering scientific concepts through clear, step-by-step solutions.
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