Math Problem Statement
Найди значение выражения: (3^2 * 2^3) / (2^2 * 3)
Solution
Let's solve the given expression:
Step 1: Simplify the Numerator and Denominator
- Numerator:
- Denominator:
Step 2: Divide the Numerator by the Denominator
The value of the expression is:
Would you like further details on the steps? Here are some related questions to deepen your understanding:
- How can you simplify similar expressions using exponent properties?
- What are the rules for multiplying and dividing powers with the same base?
- How can you factorize expressions involving exponents to find common factors?
- What is the general method for handling complex fractions with different bases?
- How would the value change if the exponents were modified slightly?
Tip: When working with expressions involving powers, always try to simplify using properties like before performing multiplication or division.
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Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplification of Expressions
Formulas
a^m * a^n = a^{m+n}
a^m / a^n = a^{m-n}
Theorems
Exponent Rules
Basic Division and Multiplication of Exponents
Suitable Grade Level
Grades 6-8