Math Problem Statement
(4x^2y^-3)(2x^-3y^2)
Solution
To simplify the expression , follow these steps:
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Multiply the constants:
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Combine the terms:
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Combine the terms:
Now, put everything together:
Finally, express the negative exponents as fractions:
So, the simplified expression is .
Would you like further details on any steps or have any questions?
Here are five related questions you might find useful:
- How would the expression change if one of the exponents was positive?
- What happens if you multiply two expressions with the same base but different exponents?
- How do you handle negative exponents in a fraction?
- How do you simplify an expression with both positive and negative exponents?
- Can you simplify ?
Tip: Always simplify exponents first before combining the terms when multiplying expressions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponent Rules
Multiplying Expressions
Formulas
Product of Powers Rule: a^m * a^n = a^(m+n)
Simplifying Negative Exponents: a^-n = 1/a^n
Theorems
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Suitable Grade Level
Grades 8-10