The expression you've written seems to be shorthand notation, possibly involving variables and coefficients. To interpret and solve it, I'll need to clarify what each part represents. Here's what it could mean:

1. **Variables and Coefficients**: The expression might involve variables \( p \) and \( g \) raised to different powers, with coefficients in front of them.

2. **Multiplication**: If there's no operator between terms, they are likely being multiplied.

So, let's assume your expression is:

\[
5p^2 \times 6p^3 \times g^5
\]

To simplify this expression, follow these steps:

### Step 1: Multiply the coefficients
Multiply the numbers (coefficients) in front of the variables:

\[
5 \times 6 = 30
\]

### Step 2: Apply the laws of exponents
For the variable \( p \), apply the rule \( p^a \times p^b = p^{a+b} \):

\[
p^2 \times p^3 = p^{2+3} = p^5
\]

The variable \( g \) is only raised to the power of 5 and has no other \( g \) terms to combine with, so it remains \( g^5 \).

### Final Expression
Combine everything together:

\[
30p^5g^5
\]

### Final Answer:
The simplified expression is:

\[
\boxed{30p^5g^5}
\]

Would you like more details or have any questions?

Here are five related questions:
1. How do you simplify expressions with multiple variables?
2. What is the product of \( p^4 \times p^6 \)?
3. How do you simplify expressions with coefficients and variables?
4. What is the general rule for multiplying powers of the same base?
5. Can you explain how to simplify the expression \( 3x^2 \times 4x^3 \)?

**Tip**: When multiplying variables with the same base, just add their exponents.

Understand how to simplify the expression 5p^2 * 6p^3 * g^5 with a detailed step-by-step solution. This problem involves variables and coefficients multiplied together, applying the laws of exponents. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation