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Simplify the expression:

\[6y^{-9}x^{7} \cdot 2ux^{-9} \cdot 2u^{-1}y^{-1}\]

Answer :

Final Answer

Simplify the expression.

The simplified expression is 24x⁶y⁻¹¹u⁻¹.

Explanation

To simplify the given expression, we can apply the rules of exponents. First, we multiply the coefficients: 6 * 2 = 12. Then, we combine the x and y terms with the same bases. In this case, x⁷ and x⁻⁹ can be combined by subtracting the exponents, which gives us x⁶ (7 - 9 = -2).

Similarly, y⁻¹ and y⁻¹ can be combined by adding their exponents, resulting in y⁻¹¹ (-1 + (-1) = -11). Finally, we multiply the u terms, which are both raised to the power of -1, so they remain as u⁻¹.

If you want to learn more about simplifying expressions with exponents, you can explore additional examples and practice problems to strengthen your understanding of this fundamental algebraic concept. Understanding the rules of exponents is essential for simplifying and solving various mathematical expressions and equations.

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