Math Problem Statement
Simplify the expressions 2^3 ⋅ 2^5 and 3^2 ⋅ 3^3.
Solution
In the image, two math problems are visible. I'll solve them below:
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Problem 1.35: Using the property of exponents, , we get: Solution:
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Problem 1.36: Again, applying the property of exponents: Solution:
Would you like further explanations or details? Here are some related questions:
- How do you simplify expressions involving exponents?
- What are the rules for multiplying powers with the same base?
- How do negative exponents work?
- Can you explain how powers of a number grow exponentially?
- How would you approach expressions with different bases?
Tip: Always remember to apply exponent rules, like , to simplify expressions quickly.
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Math Problem Analysis
Mathematical Concepts
Exponents
Multiplication of Powers
Formulas
a^m ⋅ a^n = a^(m+n)
Theorems
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Suitable Grade Level
Grades 6-8