An avid golfer goes to the driving range to practice with her favorite golf club. In a random sample of 33 swings, she hits the

Answer: y²z⁴ / x¹²

• The exponent for x is 12

• The exponent for y is 2

• The exponent for z is 4

Explanation:

1) The expression to simplify:

2) Rule: power of a power:

3) Rule: product of powers with identical bases

4) Add up the exponents

5) Transfer the negative exponent to the denominator:

The exponent attached to x is 12, for y it is 2, and for z it is 4.

Answer:

On a coordinate grid, a triangle is defined by the points R' (1, 2), S' (3, -1), T' (7, 1)

Step-by-step explanation:

We can interpret the coordinates of the triangle's vertices as...

R(-2, 1), S(1, 3), T(-1, 7)

Applying the transformation (x, y) ⇒ (y, -x), these coordinates change to...

R'(1, 2), S'(3, -1), T'(7, 1) . . . . . (this corresponds to the first option)

Answer:

- 8

Step-by-step explanation:

Given the expression

(3x² - 5)(4 + 4x²)

Each term from the second factor is multiplied by every term in the first factor, meaning

3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses

= 12x² + 12 - 20 - 20x² ← combine like terms

= 12 - 8x² - 20

The coefficient for the x² term is - 8