Respuesta :

Applying the product of two terms with the same base and different exponents, the result is given by:

[tex]18y^{17}[/tex]

How to find the product of two terms with the same base and different exponents?

To find the product of two terms with the same base and different exponents, we keep the base and add the exponents. If there are numeric coefficients before the numbers, we multiply the coefficients.

For this problem, the product is given by:

[tex](2y^8) \times (9 y^9)[/tex]

Hence:

  • The coefficients are of 2 and 9.
  • The base is of y.
  • The exponents are of 8 and 9.

The result of the product is:

[tex](2y^8) \times (9 y^9) = 2 \times 9 \times y^{8 + 9} = 18y^{17}[/tex]

More can be learned about the product of two terms with the same base and different exponents at https://brainly.com/question/234372

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