simplify, 4v to the 7th power y to the 9th power and 16v to the 6th power x to the 8th power y to the 5th power.

I'm not sure what your prob. looks likes. This is my interpretation:

4V^7Y^9 + 16v^6X^8Y^5,
4V^6Y^5(VY^4 + 4X^8).

To simplify the expression 4v^7y^9 + 16v^6x^8y^5, we can combine like terms by adding the coefficients of the similar variables.

Step 1: Start with the first term, 4v^7y^9.
Step 2: Look for other terms with the same variables, in this case, v and y.
Step 3: Add the coefficients, which are 4 and 16, to get 20.
Step 4: Write down the common variables with their exponents, which are v^7y^9.
Step 5: Repeat steps 1-4 for the other term, 16v^6x^8y^5.
Step 6: Look for terms with the same variables, which in this case are v, x, and y.
Step 7: Add the coefficients, which are 16.
Step 8: Write down the common variables with their exponents, which are v^6x^8y^5.
Step 9: Combine the simplified terms, which gives us 20v^7y^9 + 16v^6x^8y^5.

Therefore, the simplified expression is 20v^7y^9 + 16v^6x^8y^5.