The expression you provided, \(-2gh(g3h5)\), can be interpreted as a multiplication of terms. However, there's some ambiguity due to the placement of symbols like "3" and "5" next to letters, which could suggest powers, products, or concatenation.

I'll assume it's multiplication and write it as:

\[
-2gh \cdot g \cdot 3h \cdot 5
\]

Let's simplify this step by step:

### Step 1: Combine like terms
We have:
- \(-2gh\)
- \(g\)
- \(3h\)
- \(5\)

Combine the \(g\)'s and \(h\)'s:

\[
(-2) \cdot g \cdot g \cdot h \cdot h \cdot 3 \cdot 5
\]

### Step 2: Multiply coefficients and powers of variables
- Coefficients: \(-2 \cdot 3 \cdot 5 = -30\)
- \(g \cdot g = g^2\)
- \(h \cdot h = h^2\)

Thus, the simplified expression becomes:

\[
-30g^2h^2
\]

### Final Answer:
\[
-30g^2h^2
\]

Would you like further explanation or details?

### Related Questions:
1. How do you combine variables in algebraic expressions?
2. What are the rules for multiplying powers of the same base?
3. How do negative signs affect multiplication?
4. Can you explain the distributive property in algebra?
5. What is the difference between multiplication and exponentiation?

**Tip:** When multiplying terms with the same base, add their exponents. For instance, \(g \cdot g = g^2\).

Learn how to simplify the algebraic expression -2gh(g3h5) by combining like terms and multiplying coefficients. This solution involves key algebraic concepts such as variable multiplication and combining powers. Suitable for students in Grades 8-10.

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