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Simplify the expression (10z⁵ - 6z²) x 9z⁴ as much as possible. What is the simplified expression?

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Final answer:

To simplify (10z⁵ - 6z²) x 9z⁴, distribute 9z⁴ to each term to get 90z⁹ - 54z⁶. The exponents are added when multiplying terms with the same base.

Step-by-step explanation:

The student is asking to simplify the algebraic expression (10z⁵ - 6z²) x 9z⁴. To simplify this expression, we need to use the distributive property to multiply each term inside the parentheses by 9z⁴. Here's the step-by-step process:

  • Multiply 10z⁵ by 9z⁴ to get 90z⁹ (when multiplying exponents with the same base, you add the exponents).
  • Multiply -6z² by 9z⁴ to get -54z⁶ (again, add the exponents).

So, the simplified expression is 90z⁹ - 54z⁶.

Check the answer to ensure it is reasonable:

  • The exponents have been correctly added.
  • The coefficients have been correctly multiplied.
User Kurian Vithayathil
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