Math Problem Statement
how to do 2x to the power of 2/3 to the power of -3
Solution
The expression you've given is . To simplify this, we can break it down step by step:
Step 1: Apply the power of a power rule
The power of a power rule states that when you raise a power to another power, you multiply the exponents. Here's how it works:
Step 2: Simplify each term
Now simplify each part:
-
For , calculate the power of 2:
-
For , multiply the exponents :
Step 3: Combine the results
Now combine the results:
Final Answer:
The simplified form of is:
Would you like a more detailed explanation or have any questions?
Here are 5 related questions to practice:
- Simplify .
- What is the value of ?
- Simplify .
- How do you simplify ?
- Simplify .
Tip: When raising a term to a negative power, you can flip the term and change the exponent to positive!
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Math Problem Analysis
Mathematical Concepts
Exponents
Power Rules
Negative Exponents
Formulas
Power of a power rule: (a^m)^n = a^(m*n)
Negative exponent rule: a^(-n) = 1/(a^n)
Theorems
Exponentiation Theorems
Suitable Grade Level
Grades 8-10