Question

Using the properties of exponents, simplify the expression below: 6m2⋅2m8=6m2⋅2m8= (1 point) Responses 12m1612m1612 m to the 16th power 8m108m108 m to the 10th power 12m1012m1012 m to the 10th power 3m16

Answer 1

To simplify the expression \(6m^2 \cdot 2m^8\), we'll first multiply the coefficients (the numerical parts) and then apply the properties of exponents.

1. **Multiply the coefficients**:
\[
6 \cdot 2 = 12
\]

2. **Multiply the terms with the same base (apply the property of exponents)**:
\[
m^2 \cdot m^8 = m^{2+8} = m^{10}
\]

Putting it all together:
\[
6m^2 \cdot 2m^8 = 12m^{10}
\]

Therefore, the simplified expression is:
\[
\boxed{12m^{10}}
\]