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Find the least common multiple of the expressions 8w6y5x7 and 14w4x8?

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Final answer:

To find the least common multiple of the expressions 8w6y5x7 and 14w4x8, determine the highest exponents for each variable that appear in both expressions and take the product of the variables raised to those exponents.

Step-by-step explanation:

To find the least common multiple (LCM) of the expressions 8w6y5x7 and 14w4x8, we need to determine the highest exponent for each variable that appears in both expressions and take the product of the variables raised to those exponents.

In this case, the highest exponents for each variable are:

  • w: 6 in the first expression and 4 in the second expression, so we use 6 as the exponent for w.
  • x: 7 in the first expression and 8 in the second expression, so we use 8 as the exponent for x.
  • y: 5 in the first expression and not present in the second expression, so we use 5 as the exponent for y.

Therefore, the LCM of the expressions 8w6y5x7 and 14w4x8 is 8w^6y^5x^8.

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