https://file.aiquickdraw.com/mathbot/file/17261938281617nlzeuzr.jpg

The problem shown in the image is the division of two algebraic expressions:

\[
\frac{36x^9y^7}{4x^3y^4}
\]

Let's solve this step-by-step:

1. **Divide the coefficients**:  
   \( \frac{36}{4} = 9 \)

2. **Divide the powers of \(x\)**:  
   \[ x^9 \div x^3 = x^{9-3} = x^6 \]

3. **Divide the powers of \(y\)**:  
   \[ y^7 \div y^4 = y^{7-4} = y^3 \]

Now, putting it all together:

\[
\frac{36x^9y^7}{4x^3y^4} = 9x^6y^3
\]

Thus, the simplified expression is:

\[
9x^6y^3
\]

Would you like further details or have any questions?

Here are 5 related questions to explore further:
1. What is the rule for dividing variables with exponents?
2. How would you handle division if one of the powers was negative?
3. What happens if the exponent of a variable is zero?
4. Can the same process be applied to expressions with multiple variables?
5. How does this process change when dealing with fractional exponents?

**Tip**: When dividing powers with the same base, remember to subtract the exponents.

Simplify the algebraic expression: 36x^9y^7 by 4x^3y^4.

Learn how to simplify the algebraic expression 36x^9y^7 divided by 4x^3y^4 with detailed steps. This guide explains the division of coefficients and the application of the laws of exponents to solve the expression, yielding 9x^6y^3 as the result. Suitable for high school students learning algebra.

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