\( m \times m \times m^{2}=34 \) Find \( m \)

To solve the equation \( m \times m \times m^{2} = 34 \), we first simplify the left side. We can combine the terms: \[ m \times m \times m^{2} = m^{1} \times m^{1} \times m^{2} = m^{1+1+2} = m^{4} \] So we have: \[ m^{4} = 34 \] To find \( m \), we take the fourth root of both sides: \[ m = \sqrt[4]{34} \] This can be approximated numerically. Since \( 2^4 = 16 \) and \( 3^4 = 81 \), we know \( m \) is between 2 and 3. Calculating further, we find: \[ m \approx 2.34 \] Thus, the approximate value of \( m \) is \( \sqrt[4]{34} \approx 2.34 \).