Question

Math Simplify: (2x^8) (2x^6) / 6x^9

Answer 1

To simplify the expression (2x^8)(2x^6)/6x^9, multiply the numerators together and the denominators together. Then simplify by dividing the terms.

Step-by-step explanation:

To simplify the expression (2x^8)(2x^6)/6x^9, we can multiply the numerators together and multiply the denominators together. This would give us (2x^8)(2x^6) = 4x^14, and 6x^9 in the denominator.

Now, we can simplify by dividing the terms in the numerator by the term in the denominator. So, 4x^14 divided by 6x^9 would be (4/6)x^(14-9) = (2/3)x^5.

Therefore, the simplified expression is (2/3)x^5.

Answer 2

Simplifying

`(2x^8*2x^6)/(6x^9)`

Multiplying and applying the law of exponents

`((2\cdot2)x^(8+6))/(6x^9)=(4x^(14))/(6x^9)`

Then

`\begin{gathered} \frac{4}{6\text{ }}=(2)/(3) \\ \text{and} \\ (x^(14))/(x^9)=x^(14-9)=x^5 \end{gathered}`

Therefore:

`(2)/(3)x^5`

Answer:

`(2x^5)/(3)`