24m^2 / (8m^15) x 7m^6

To simplify the expression:

We can start by multiplying the coefficients together:
24 x 7 = 168

Next, simplify the variables by subtracting the exponents:
m^2 / m^15 = m^(2-15) = m^-13

Finally, multiply the variables together:
m^-13 x m^6 = m^(-13+6) = m^-7

Putting it all together, the simplified expression is:
168m^-7