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Simplify the expression (9w2x8)(w6x4)(9๐‘ค2๐‘ฅ8)(๐‘ค6๐‘ฅ4) . Write the variables in alphabetical order.

Question

Simplify the expression

(9w^2x^8)(w^6x^4)(9w^2x^8)(w^6x^4)

Write the variables in alphabetical order.

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Solution

To simplify the expression (9w^2x^8)(w^6x^4), you need to multiply the coefficients and add the exponents of the variables that are the same.

Step 1: Multiply the coefficients There are no coefficients other than 1 in the second term, so the coefficient of the simplified expression is 9.

Step 2: Add the exponents of w The exponents of w are 2 and 6. Adding these gives 2 + 6 = 8.

Step 3: Add the exponents of x The exponents of x are 8 and 4. Adding these gives 8 + 4 = 12.

Step 4: Write the simplified expression The simplified expression is 9w^8x^12.

Note: The variables are already in alphabetical order.

This problem has been solved

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