https://file.aiquickdraw.com/mathbot/file/1726521475292geqv0q58.jpg

It seems that the OCR didn't perfectly extract the mathematical expression. However, based on the image, the expression appears to be:

\[
\frac{27p^{-10} \cdot 11q}{15p^{19} \cdot 2q}
\]

Let's simplify this expression.

### Step-by-step simplification:
1. Combine the constants: \(\frac{27 \times 11}{15 \times 2} = \frac{297}{30} = \frac{99}{10}\)
2. For the variable \(p\): \(\frac{p^{-10}}{p^{19}} = p^{-10 - 19} = p^{-29}\)
3. For the variable \(q\): \(\frac{q}{q} = 1\)

So, the simplified form is:

\[
\frac{99}{10p^{29}}
\]

Would you like further details or have any questions? Here are some related questions you might find interesting:

1. How do exponents work when dividing terms with the same base?
2. What is the significance of negative exponents in algebra?
3. How can you simplify fractions with large constants?
4. Can you explain how the rules of exponents apply in a different problem?
5. What happens when a variable cancels out in both the numerator and denominator?

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

Simplify the algebraic expression: (27p^(-10) * 11q) / (15p^19 * 2q).

Learn how to simplify the algebraic expression (27p^(-10) * 11q) / (15p^19 * 2q) using the laws of exponents and simplification techniques. This detailed solution is suitable for students in grades 9-12, covering key concepts in algebra and exponents.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation