Question

Use the product rule to simplify the expressior (y^(14)z^(7))(y^(11)z)

Answer 1

To simplify the expression (y^(14)z^(7))(y^(11)z), we can apply the product rule. Multiplying the variables with the same base will involve adding their exponents. The simplified expression is y^(25)z^(8).

Step-by-step explanation:

To simplify the expression (y14z7)(y11z) using the product rule, we need to multiply the two expressions together and combine the like terms.

1. When multiplying the variables with the same base, we add their exponents. In this case, y14 multiplied by y11 gives us y25.
2. Similarly, z7 multiplied by z gives us z8.
3. Combining the like terms, we have y25z8.

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