simplify 24s^10 /(4t^6) * 6t^3

To simplify the expression, we can divide both the numerator and denominator by their common factors.

Starting with the numerator, 24s^10 can be divided by 4 to give us 6s^10.

Moving on to the denominator, 4t^6 can be divided by 4 to give us t^6.

So the expression simplifies to:

(6s^10 * 6t^3) / t^6.

To simplify this further, we can multiply the coefficients and combine the variables with the same base:

6 * 6 = 36
s^10 * t^3 / t^6.

For the variables, we subtract the exponents since we are dividing:

s^10 * t^(3-6) = s^10 * t^-3.

Putting it all together, we have:

36s^10 * t^-3.