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Chapter 5: Problem 3

Multiply each expression using the product rule. $$y \cdot y^{11}$$

Short Answer

Expert verified
The simplified form of the expression 'y * y^{11}' is \(y^{12}\)

Step by step solution

01

Identify the base and the exponents

In this expression, the base is 'y'. The expression 'y' can also be expressed as \(y^1\), therefore, the exponents are 1 and 11.
02

Apply the product rule

Using the product rule, we keep the base the same and add the exponents together. This gives us \(y^{1+11}\)
03

Simplify the expression

Adding the exponents gives us \(y^{12}\)

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