Math Problem Statement
(-1 1/2)^3 = ?
Solution
The expression provided in the image is:
This is a mixed fraction, , raised to the power of 3. We can first convert the mixed fraction into an improper fraction, then apply the exponent.
Step 1: Convert to an improper fraction
can be rewritten as .
Step 2: Apply the exponent
We now raise to the power of 3:
Thus, the result is:
Would you like any additional explanation or details?
Here are 5 related questions to expand on this:
- How do you convert mixed numbers to improper fractions?
- What is the general rule for raising a fraction to a power?
- How does the negative sign affect the result when raising a number to an odd power?
- Can you express as a mixed number?
- What happens if the exponent is an even number instead of 3?
Tip: When dealing with mixed numbers, always convert them to improper fractions first to make exponentiation easier.
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Mixed Numbers
Improper Fractions
Formulas
(a/b)^n = a^n / b^n
Theorems
Properties of Exponents
Suitable Grade Level
Grades 6-8