Simplify the expression (9w2x8)(w6x4)(9๐ค2๐ฅ8)(๐ค6๐ฅ4) . 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.
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.
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