Math Problem Statement
(5/3t^10)+(5/(3t)^10)
Solution
The given expression is:
Let's simplify this step-by-step.
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The first term, , remains unchanged because it's already simplified.
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For the second term, , we need to expand the denominator: So the second term becomes:
Thus, the entire expression becomes:
There isn't any further simplification possible. This is the simplified form of the given expression.
Do you have any questions or would you like more details?
Here are 5 related questions:
- How do you simplify exponents when variables and constants are combined?
- How do fractional exponents work in expressions like this?
- What are the properties of exponents when multiplying or dividing terms?
- How would you handle exponents if the base includes both a variable and a constant?
- Can you combine terms with different bases if they have the same exponent?
Tip: Always apply exponent rules carefully when the base is a product of terms. Each factor must be raised to the power separately.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplification
Formulas
Exponentiation of products: (ab)^n = a^n * b^n
Simplification of terms with exponents
Theorems
Laws of exponents: (a^m) / (a^n) = a^(m-n)
Distributive property of exponents over multiplication
Suitable Grade Level
Grades 9-10
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