Math Problem Statement
w-2^{\placeholder{}} $$$$ w^{-4}w^5
Solution
It looks like you’re working with an expression that involves exponents and possibly some placeholders. To clarify, here's a breakdown of the two parts:
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First part:
- This seems to indicate raised to some power. If you’re aiming to substitute a specific value for the placeholder, that will determine the final expression.
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Second part:
- Using the property of exponents where , this simplifies to:
If you're working on simplifying or solving for a particular value, let me know what the placeholder represents or if you'd like help with any specific part of the equation.
Would you like more details on how to handle exponents? Or do you have another example?
Here are some related questions for you:
- How do you simplify expressions involving exponents with different signs (like )?
- What does the negative exponent mean in expressions like ?
- Can you apply exponent rules when dealing with negative numbers raised to exponents?
- How do you simplify expressions with variables in the base and constants in the exponent?
- How do you handle exponentiation in terms of both base and exponent being negative?
Tip: Always remember the rule when combining terms with the same base.
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Math Problem Analysis
Mathematical Concepts
Exponents
Simplifying Expressions
Exponent Rules
Formulas
Exponent rule: a^m * a^n = a^(m+n)
Negative exponent rule: a^{-n} = 1/a^n
Theorems
Exponent multiplication rule
Suitable Grade Level
Grades 6-8
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Simplify Expression with Exponents and Negative Exponents
Simplifying Expression with Exponents: (1/5)^2 * (1/5)^-4 * (1/5)^3
Simplify Expression with Negative Exponents: (x^(-6) / (2w^5))^(-3)