Math Problem Statement
2^-2m^-3/n^0
Solution
The given expression is:
Let's break it down:
-
: This means raised to the power of . Any number raised to a negative exponent is the reciprocal of that number raised to the positive exponent:
-
: This means raised to the power of . Similarly, a negative exponent means the reciprocal:
-
: Any non-zero number raised to the power of zero is equal to 1:
Now, combining all these results:
So, the simplified expression is:
Would you like any further explanation or have additional questions on this?
Here are some related questions to explore:
- How do negative exponents behave in expressions?
- What are the rules for dividing terms with exponents?
- What does the zero exponent rule tell us about any non-zero number raised to the power of zero?
- How would you simplify expressions with multiple terms having negative exponents?
- Can you apply this simplification process to more complex algebraic expressions?
Tip: Remember, negative exponents can always be rewritten as fractions, and anything raised to the power of zero (except zero itself) equals 1.
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Exponents
Zero Exponent Rule
Simplification
Formulas
a^(-n) = 1/a^n
a^0 = 1 (for a ≠ 0)
Theorems
Negative exponent rule
Zero exponent rule
Suitable Grade Level
Grades 7-9