implify the expression. Write the result using positive exponents only. Assume that all bases are not equal to 0 . \( \frac{\left(m^{2}\right)^{6} m}{m^{6}} \)

To simplify the expression \( \frac{(m^{2})^{6} m}{m^{6}} \), we first apply the power of a power property, which states that \((a^m)^n = a^{mn}\). So, \((m^{2})^{6} = m^{12}\). Now we can rewrite the expression as: \[ \frac{m^{12} m}{m^{6}} = \frac{m^{12 + 1}}{m^{6}} = \frac{m^{13}}{m^{6}}. \] Next, we subtract the exponents in the fraction using the property \(\frac{a^m}{a^n} = a^{m-n}\): \[ m^{13 - 6} = m^{7}. \] Thus, the simplified expression is \(m^{7}\).