( - 6 xm³a⁴)³

To simplify the expression (-6xm³a⁴)³, we need to raise each term inside the parentheses to the power of 3.

First, let's consider the coefficient -6. Raising -6 to the power of 3 gives us (-6)³ = -6 * -6 * -6 = -216.

Next, let's raise the variables xm³ to the power of 3. When raising a variable with an exponent to another exponent, we multiply the exponents. So, (xm³)³ = x³ * (m³)³ = x³ * m⁹.

Finally, let's raise a⁴ to the power of 3. When raising a variable with an exponent to another exponent, we again multiply the exponents. So, (a⁴)³ = a^(4*3) = a¹².

Putting it all together, the simplified expression is: (-6xm³a⁴)³ = -216x³m⁹a¹².