Math Problem Statement
Solution
The problem asks which expression is equivalent to .
To solve this, we use the properties of exponents, specifically:
Here, and , so:
Thus, the equivalent expression is . This matches the option "1/12^5", since can also be written as:
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Related Questions:
- What is the rule for multiplying powers with the same base?
- How would you simplify ?
- What is the significance of negative exponents in expressions?
- How do you handle division with exponents, such as ?
- What happens when you raise a power to another power, like ?
Tip: When multiplying terms with the same base, remember to add the exponents!
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Math Problem Analysis
Mathematical Concepts
Exponents
Multiplication of Powers
Formulas
a^m * a^n = a^(m+n)
Theorems
Exponent Multiplication Rule
Suitable Grade Level
Grades 7-9
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