
Simplify. Express your answer using positive exponents.
(9m7)(10m3)(8m3)

Let's simplify the expression \((9m^7)(10m^3)(8m^3)\) step by step.

### Step 1: Multiply the coefficients
The coefficients are \(9\), \(10\), and \(8\). Multiply these together:
\[
9 \times 10 \times 8 = 720
\]

### Step 2: Add the exponents of \(m\)
We have the following powers of \(m\): \(m^7\), \(m^3\), and \(m^3\). When multiplying terms with the same base, add their exponents:
\[
m^{7+3+3} = m^{13}
\]

### Step 3: Write the simplified expression
Thus, the simplified expression is:
\[
720m^{13}
\]

This is the final answer, expressed with positive exponents.

Would you like a more detailed explanation or have any further questions?

Here are five related questions:
1. How would the expression change if one term had a negative exponent?
2. Can you apply the same method to simplify \((4x^5)(3x^2)(7x^3)\)?
3. How do you simplify an expression with different variables like \((5a^2b)(2ab^3)\)?
4. How do you simplify a quotient of terms like \(\frac{15m^6}{5m^2}\)?
5. What would happen if you had a division of powers with the same base instead of multiplication?

**Tip:** Always remember that when multiplying powers with the same base, add their exponents.

Simplify. Express your answer using positive exponents. (9m^7)(10m^3)(8m^3)

Learn how to simplify the expression (9m^7)(10m^3)(8m^3) step by step by multiplying coefficients and adding exponents. This problem involves key algebraic concepts such as the laws of exponents and multiplication of powers. Suitable for students in Grades 8-10.

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