Math Problem Statement
Simplify the expression 2u * v^5 * 7uv^8. Express your answer using positive exponents.
Solution
The given expression is:
Let's simplify it step by step:
- Multiply the constants: .
- Combine the terms: .
- Combine the terms: .
Now the simplified expression is:
Let me know if you have any questions or need further details!
Here are 5 related questions you might consider:
- How do you multiply terms with the same base but different exponents?
- What happens when you multiply powers with the same base?
- Can you explain how to simplify expressions involving variables and exponents?
- What does it mean to express an answer using only positive exponents?
- How do you distribute multiplication over multiple variables in algebra?
Tip: When multiplying variables with exponents, always add the exponents if the bases are the same.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplification of expressions
Formulas
Multiplication of terms with exponents
Product rule for exponents: a^m * a^n = a^(m+n)
Theorems
Exponent rules for multiplication
Suitable Grade Level
Grades 7-9