Math Problem Statement
Tuliskan dalam bentuk pangkat positif: (5^{-2})^3
Solution
The problem asks to rewrite the expression using positive exponents. Let's solve this step by step.
Step 1: Apply the power of a power rule
The power of a power rule states that .
Here, , , and .
Step 2: Convert to a positive exponent
To convert to an expression with a positive exponent, use the reciprocal rule: .
Final Answer:
The expression in positive exponent form is .
Would you like more details on this solution, or do you have any other questions?
Related Questions:
- How do you simplify expressions with multiple negative exponents?
- What is the general rule for multiplying exponents?
- How do you handle division of exponents with negative powers?
- Can the laws of exponents be applied to variables as well as numbers?
- What is the significance of the reciprocal in converting negative exponents?
Tip:
When simplifying expressions involving exponents, always consider the rules of exponents first before performing any arithmetic operations.
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Exponents
Formulas
Power of a power rule: (a^m)^n = a^{m \times n}
Reciprocal rule: a^{-n} = 1/a^n
Theorems
Exponentiation
Suitable Grade Level
Grades 7-9