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