Math Problem Statement
Simplify. Express your answer using exponents. (3m^9n^3)^2
Solution
The expression you provided is:
To simplify this, apply the power of a product rule: .
Step-by-step:
- First, apply the exponent to each part inside the parentheses:
- Simplify each part:
So, the simplified expression is:
Would you like a more detailed explanation of any part of the solution?
Here are some related questions to explore further:
- What is the difference between the product and power rules in exponents?
- How do you simplify expressions with negative exponents?
- What happens if you multiply two expressions with the same base but different exponents?
- How can you handle expressions with fractional exponents?
- Can exponents be applied to terms with variables raised to different powers?
Tip: When simplifying expressions with exponents, always be mindful of the rules of exponents, such as the power of a product, power of a power, and the product of powers.
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Math Problem Analysis
Mathematical Concepts
Exponents
Algebra
Exponentiation Rules
Formulas
(ab)^n = a^n * b^n
(x^m)^n = x^(m*n)
Theorems
Exponentiation Rules
Suitable Grade Level
Grades 7-9