(m⁵)³.m²x

To simplify the expression \((m^5)^3 \cdot m^2x\), you can follow these steps: 1. Apply the power of a power rule, which states that \((a^m)^n = a^{m \cdot n}\): \[ (m^5)^3 = m^{5 \cdot 3} = m^{15} \] 2. Now, multiply the result by \(m^2x\): \[ m^{15} \cdot m^2x \] 3. Use the product of powers property, which states that \(a^m \cdot a^n = a^{m+n}\): \[ m^{15} \cdot m^2 = m^{15+2} = m^{17} \] 4. Combine it with \(x\): \[ m^{17}x \] The simplified expression is: \[ m^{17}x \]