Final answer:
The simplified expression for (10xy^5z^3)(3x^4y^6z^3) is 30x^5y^11z^6 by multiplying the coefficients and adding the exponents of the like bases.
Step-by-step explanation:
To simplify the expression (10xy5z3)(3x4y6z3), we need to use the rule of multiplying exponentiated quantities.
We multiply the coefficients (numerical parts) and add the exponents of the variables with the same base.
So, we get:
- 10 * 3 = 30
- x1 * x4 = x1+4 = x5
- y5 * y6 = y5+6 = y11
- z3 * z3 = z3+3 = z6
Combining everything together, the simplified expression is 30x^5y^11z^6.