Question

Write your answer as a power or as a product of powers. $$ 3 y^{2} \cdot(2 y)^{3} $$

Short answer

The simplified expression is \(6 y^{5}\)

Step-by-step solution

Simplify the Coefficients

Multiply the coefficients 3 and 2 together to get 6. This leaves the expression as \(6 y^{2} \cdot y^{3}\)

Apply the Property of Exponents

When multiplying exponents with the same base, you add the powers. In this case, we add the exponents of 2 and 3 to get 5. The final expression is \(6 y^{5}\)