Math Problem Statement
Solution
The given expression is . To simplify it, we can apply the power of a product rule, which states:
We'll distribute the exponent to each part inside the parentheses:
- For , we raise to the power of 5:
- For , we raise to the power of 5:
- For , we raise to the power of 5:
So the simplified expression is:
It appears that in the image, the exponent for was mistakenly written as 2. The correct final answer should be:
Would you like further clarification on this?
Here are 5 follow-up questions based on this explanation:
- What is the power rule for exponents?
- How do you simplify expressions involving exponents inside parentheses?
- Can the exponent apply to any other operations besides multiplication?
- How would the result change if the exponent applied to a sum instead of a product?
- What is the general rule for distributing exponents over multiple variables?
Tip: Always double-check the exponents for all variables when simplifying expressions to avoid small mistakes!
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Power Rule
Formulas
(a^m)^n = a^{m*n}
(ab)^n = a^n * b^n
Theorems
Power of a Product Rule
Exponentiation Theorem
Suitable Grade Level
Grades 8-10
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