Math Problem Statement
(-3)^4
Solution
The expression visible in the image is .
Let's solve it step by step:
- When raising a negative number to an even power, the result is positive.
- The result of this is:
So, .
Let me know if you'd like further details or have any other questions.
Here are 5 questions based on this:
- What is the result of ?
- How do powers of negative numbers change with odd vs even exponents?
- Can you explain why equals 1 or -1 depending on ?
- What happens if the negative sign is outside the parentheses in ?
- How do powers of fractions work with negative bases?
Tip: When dealing with negative numbers raised to a power, always check if the exponent is even or odd—this determines whether the result will be positive or negative!
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Numbers
Algebra
Formulas
(-a)^n = a^n when n is even
Theorems
Exponentiation of negative numbers
Even vs. odd powers of negative numbers
Suitable Grade Level
Grades 6-8