MHB Simplification of Expressions with Exponents

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To simplify expressions with exponents without a calculator, understanding the Laws of Exponents is essential. Participants in the discussion emphasize the importance of applying these laws to evaluate expressions accurately. The conversation encourages sharing methods and techniques used for simplification. Users are prompted to discuss their attempts and strategies for solving the problems presented. Mastery of these concepts allows for effective evaluation of exponential expressions.
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Evaluate each of the following without using the calculator.

View attachment 468

View attachment 469

how to evaluate without even using calculator?
 

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thorpelizts said:
Evaluate each of the following without using the calculator.

https://www.physicsforums.com/attachments/468

View attachment 469

how to evaluate without even using calculator?

Hi thorpelizts, :)

All you need to know to simplify these expressions are the Laws of Exponents. What have you tried so far?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

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