Math Problem Statement
(7m^(-3)n^(8))^(-2) Simplify
Solution
Let's simplify the expression step by step.
Step 1: Apply the Power Rule to Each Factor
The expression is . Using the power rule , distribute the exponent to each factor inside the parentheses:
Step 2: Simplify Each Factor
- For :
- For :
- For :
Step 3: Combine the Results
Now, multiply these simplified results together:
This simplifies to:
So, the fully simplified expression is:
Would you like more details or have any questions?
Here are 5 related questions:
- How would the expression change if the exponent was instead of ?
- What happens if the base includes a negative number?
- How do you simplify expressions with fractional exponents?
- What is the significance of a negative exponent in real-world contexts?
- How do you simplify an expression with multiple variables and exponents?
Tip: When simplifying expressions with exponents, always apply the power rule carefully to avoid mistakes.
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Math Problem Analysis
Mathematical Concepts
Exponents
Power Rule
Simplifying Expressions
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12