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------------------------------------------------ Simplify the expression:

\[ 2y^{-8} \times 6wx^{-9} \times 7x^{7}y^{9}w^{9} \]

Use only positive exponents in your answer.

To simplify the expression, first, combine like terms and simplify the coefficients. Then, add the exponents for variables with the same base. Finally, add the exponents for variables with different bases.

Explanation:

To simplify the expression 2y^(-8) * 6wx^(-9) * 7x^(7)y^(9)w^(9), we can combine like terms and simplify the exponents.

First, let's simplify the coefficients: 2 * 6 * 7 = 84.

Next, let's simplify the variables with the same base, x and w. We add the exponents together: -9 + 7 + 9 = 7.

Finally, for y, we add the exponents together: -8 + 9 = 1.

So the simplified expression is 84x^7y.

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