Question
Simplify without a negative exponent.
10m2⋅3m510m^2\cdot3m^510m
2
⋅3m
5
Answers
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Answered by
GPT-4o mini
To simplify the expression \( 10m^2 \cdot 3m^5 \), follow these steps:
1. **Multiply the coefficients**:
- The coefficients are 10 and 3.
- \( 10 \cdot 3 = 30 \).
2. **Combine the variables**:
- You can combine the powers of \( m \) by adding the exponents.
- \( m^2 \cdot m^5 = m^{2+5} = m^7 \).
Putting it all together, we have:
\[
10m^2 \cdot 3m^5 = 30m^7
\]
So the simplified expression is \( \boxed{30m^7} \).
1. **Multiply the coefficients**:
- The coefficients are 10 and 3.
- \( 10 \cdot 3 = 30 \).
2. **Combine the variables**:
- You can combine the powers of \( m \) by adding the exponents.
- \( m^2 \cdot m^5 = m^{2+5} = m^7 \).
Putting it all together, we have:
\[
10m^2 \cdot 3m^5 = 30m^7
\]
So the simplified expression is \( \boxed{30m^7} \).
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