Simplify 3y^(4)*2y*y^(4)=

Identify Components: Identify the components of the expression. We have the expression 3y^(4)*2y*y^(4), which consists of a constant multiplied by a variable raised to a power, then multiplied by another constant and the variable again, which is also raised to a power.Combine Constants: Combine the constants. We can multiply the constants 3 and 2 together. Calculation: 3 * 2 = 6Apply Exponent Property: Apply the property of exponents to combine the powers of y. When multiplying powers with the same base, we add the exponents. Calculation: y^(4) * y * y^(4) = y^(4+1+4) = y^(9)Combine Results: Combine the results from Step 2 and Step 3. We multiply the constant from Step 2 with the result from Step 3. Calculation: 6 * y^(9)

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Simplify $3 y^{4} \cdot 2 y \cdot y^{4}$ =

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Algebra 2

Product property of logarithms

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Q. Simplify

3 y^{4} \cdot 2 y \cdot y^{4}

Identify Components: Identify the components of the expression. $\newline$ We have the expression $3y^{4}\cdot 2y\cdot y^{4}$ , which consists of a constant multiplied by a variable raised to a power, then multiplied by another constant and the variable again, which is also raised to a power.
Combine Constants: Combine the constants. $\newline$ We can multiply the constants $3$ and $2$ together. $\newline$ Calculation: $3 \times 2 = 6$
Apply Exponent Property: Apply the property of exponents to combine the powers of $y$ . When multiplying powers with the same base, we add the exponents. Calculation: $y^{4} \times y \times y^{4} = y^{4+1+4} = y^{9}$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ We multiply the constant from Step $2$ with the result from Step $3$ . $\newline$ Calculation: $6 \times y^{9}$