6p^3 x 5p^10/15p^2

To solve the expression, you'll want to simplify the variables and coefficients separately.

For the coefficients, 6 and 15, you can find the greatest common factor which is 3. Divide both 6 and 15 by 3:

6/3 = 2
15/3 = 5

So, the coefficient simplifies to 2/5.

For the variables, p, you can subtract the exponents when dividing:

p^3 / p^2 = p^(3-2) = p^1 = p
p^10 / p^2 = p^(10-2) = p^8

So, the variable p simplifies to p^(1+8) = p^9.

Putting it all together, the expression simplifies to:

(2/5)p^9