Simplify. Express your answer using positive exponents. 6y^4/(2y^4 * y^8) ______

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Write Expression, Identify Like Terms: Write down the given expression and identify like terms. The given expression is 6y^4/(2y^4 * y^8). We can see that y^4 appears in both the numerator and the denominator, and we will need to simplify these terms.Simplify Coefficients and Powers: Simplify the coefficients and the powers of y separately. First, we simplify the coefficients. We have 6 in the numerator and 2 in the denominator, which can be simplified as 6/2. 6/2 = 3 Next, we simplify the powers of y. We have y^4 in the numerator and y^4 * y^8 in the denominator. When dividing powers with the same base, we subtract the exponents. y^4/(y^4 * y^8) = y^4/y^(4+8) = y^4/y^12Apply Laws of Exponents: Apply the laws of exponents to simplify the powers of y. Using the law of exponents for division, we subtract the exponents of y. y^4/y^12 = y^(4-12) = y^(-8) Since we want to express the answer using positive exponents, we can write y^(-8) as 1/y^8.Combine Coefficients and Powers: Combine the simplified coefficients and powers of y. We have the coefficient 3 from step 2 and the power of y as 1/y^8 from step 3. Combining these gives us the final simplified expression. 3 * (1/y^8) = 3/y^8

Simplify. Express your answer using positive exponents. $\newline$ $\frac{6y^4}{2y^4 \cdot y^8}$

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Simplify. Express your answer using positive exponents. $\newline$ $\frac{6y^4}{2y^4 \cdot y^8}$