Simplify algebraic expression with exponents

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Problem

Simplify algebraic expression with exponents

Step-by-step solution

Simplify the expression by canceling common factors and applying exponent rules. $\frac{3x^4y^8}{9x^6y^7} = \frac{1}{3}x^{4-6}y^{8-7} = \frac{1}{3}x^{-2}y^1 = \frac{y}{3x^2}$.

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Answer

\frac{y}{3x^2}