Math Problem Statement
(3/2)^-3
Solution
To solve , follow these steps:
Step 1: Apply the Negative Exponent Rule
The negative exponent rule states that . So, we apply this to the expression:
Step 2: Calculate the Cube of
Now, we need to raise to the power of 3:
Step 3: Substitute Back
Now, substitute into the expression:
Final Answer:
Would you like further clarification or details on any step?
Related Questions:
- What happens when we apply positive exponents to fractions like ?
- How can the laws of exponents be used to simplify expressions with negative exponents?
- How do you simplify expressions like ?
- How would you handle fractional exponents, for example ?
- Can negative exponents be simplified differently when applied to whole numbers?
Tip: Remember, negative exponents always mean "take the reciprocal" of the base before applying the exponent.
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Math Problem Analysis
Mathematical Concepts
Exponents
Negative Exponents
Fractions
Formulas
a^(-n) = 1 / (a^n)
(a/b)^n = a^n / b^n
Theorems
Negative Exponent Rule
Suitable Grade Level
Grades 7-9