Math Problem Statement
9^23^51/27 *(1/3)^-4
Solution
Let's break down and simplify the expression step by step:
Given expression:
Step 1: Simplify each term
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Simplify :
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Simplify :
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Simplify :
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Simplify :
Using the property :
Step 2: Combine powers of 3
Now let's combine the powers of 3.
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We have:
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Combine the exponents of 3:
Step 3: Final multiplication
Now, simplify the entire expression:
We know that and , so the entire expression is:
Thus, the simplified result of the expression is:
If you want this in numerical form:
Would you like more details or have any questions?
Related questions:
- How do you simplify expressions involving negative exponents?
- What are the rules for multiplying powers with the same base?
- How can you express in terms of powers of 3?
- How do fractional exponents work in similar problems?
- Can this approach be used for other types of powers (e.g., with bases other than 3)?
Tip:
When working with exponents, always try to express terms with a common base to simplify your work.
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Exponents
Multiplication of Powers
Algebraic Simplification
Formulas
a^m * a^n = a^(m+n)
(1/a)^-b = a^b
Theorems
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Suitable Grade Level
Grades 9-12