Which shows
36
8
decomposed into a product of powers?

The number \( \frac{36}{8} \) can be simplified and decomposed into a product of powers as follows:

1. Start by simplifying \( \frac{36}{8} \):
   \[
   \frac{36}{8} = \frac{36 \div 4}{8 \div 4} = \frac{9}{2}
   \]

2. Now, express both 9 and 2 as products of prime factors:
   - \( 9 = 3^2 \)
   - \( 2 = 2^1 \)

So, the simplified form of \( \frac{36}{8} \) is \( \frac{3^2}{2^1} \).

Thus, \( \frac{36}{8} \) decomposed into a product of powers is:
\[
\frac{3^2}{2^1}
\]

Would you like more details or have any questions?

Here are some related questions:

1. How do you simplify fractions using prime factorization?
2. What is the prime factorization of 36 and 8?
3. How can you express any fraction as a product of powers?
4. How do exponents work when dividing numbers?
5. What are some other examples of fractions simplified using prime factorization?

**Tip**: To simplify fractions quickly, always look for the greatest common divisor (GCD) between the numerator and the denominator.

Which shows 36/8 decomposed into a product of powers?

Learn how to simplify the fraction 36/8 by breaking it down into prime factors and expressing it as a product of powers. Understand key mathematical concepts such as GCD, prime factorization, and exponents. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation