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Chapter 5: Problem 4

Multiply each expression using the product rule. $$y \cdot y^{19}$$

Short Answer

Expert verified
The simplified form of the expression \(y \cdot y^{19}\) is \(y^{20}\).

Step by step solution

01

Identify the Base and the Exponents

In the expression \(y \cdot y^{19}\), 'y' is the base. It appears twice 鈥� once with an implied exponent of 1 and once with an exponent of 19.
02

Apply the Product Rule of Exponents

According to the product rule of exponents, when multiplying powers with the same base, you add the exponents. So, the result of multiplying \(y = y^{1}\) by \(y^{19}\) will be \(y^{1+19}\).
03

Add the Exponents

Add the exponents to find the simplified form of the expression. 1 + 19 equals 20. So the expression simplifies to \(y^{20}\).

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