Question

3)
Consider the expression shown.

(x^-3 y^5 z^-4)x (x^6 y^-7 z^-2)

Please choose the values of the exponents of x, y, and z in the simplified expression, respectively.

A. -9

B. -18

C. 3

Answer 1

its one of these answers choices

-9

-18

3

Answer 2

To simplify the expression, we need to multiply the coefficients and add the exponents with the same base.

The simplified expression will be:

x^(-3+1+6) * y^(5-7) * z^(-4+(-2))

This simplifies to:

x^4 * y^(-2) * z^(-6)

Therefore, the values of the exponents of x, y, and z in the simplified expression are 4, -2, and -6.

C. 4, -2, -6

Answer 3

To simplify the expression:

(x^-3 y^5 z^-4)x (x^6 y^-7 z^-2)

We need to multiply the coefficients and add the exponents with the same base.

This simplifies to:

x^(-3+1+6) * y^(5-7) * z^(-4+(−2))

x^4 * y^(-2) * z^(-6)

Therefore, the values of the exponents of x, y, and z in the simplified expression are 4, -2, -6.

Now, let's reevaluate the answer choices:

A. -9: This is not the correct answer.

B. -18: This is not the correct answer.

C. 3 : This is not the correct answer.

Based on the simplification performed earlier, the correct values for the exponents of x, y, and z in the simplified expression are 4, -2, -6. Since none of the given answer choices match this result, please note that the simplification of the expression does not match any of the provided answer choices.