Which expression represents the area of a rectangle with sides measuring 6ab³ and 3a²b²?

1. 2ab
   Incorrect. You must use the laws of exponents and the formula for the area of a rectangle to find the answer.
2. 3a³b⁵
   Incorrect. You must use the laws of exponents and the formula for the area of a rectangle to find the answer.
3. 3a³b⁶
   Incorrect. You must use the laws of exponents and the formula for the area of a rectangle to find the answer.
4. 18a³b⁶
   Correct! The laws of exponents and the formula for the area of a rectangle were used to find the answer.

The radius of a circle measures 24x⁷y³z⁴. If x > 0 and y > 0, what is the area of the circle? (Hint: Area of a Circle = r²)

1. 48x¹⁴y⁶z⁸
   Incorrect. You must use the laws of exponents and the formula for the area of a circle to find the answer.
2. 576x¹⁴y⁶z⁸
   Correct! The laws of exponents and the formula for the area of a circle were used to find the answer.
3. 48x⁹y⁵z⁶
   Incorrect. You must use the laws of exponents and the formula for the area of a circle to find the answer.
4. 576x⁹y⁵z⁶
   Incorrect. You must use the laws of exponents and the formula for the area of a circle to find the answer.

The area of a triangle measures 10m⁵n. The base of the triangle measures 3m²n³. If m > 0 and n > 0, what is the height of the triangle? (Hint: Area of a Triangle = one-half 1 2 bh)

1. 20m cubed over 3n squared 20m³ 3n²
   Correct! The laws of exponents and the formula for the area of a triangle were used to find the answer.
2. 17mn^-2
   Incorrect. You must use the laws of exponents and the formula for the area of a triangle to find the answer.
3. 30m⁵n³
   Incorrect. You must use the laws of exponents and the formula for the area of a triangle to find the answer.
4. 17m⁵n³
   Incorrect. You must use the laws of exponents and the formula for the area of a triangle to find the answer.

The height of a trapezoid measures 4x²y². The bases of the trapezoid measure 3xy³ and 2xy³. If x > 0 and y > 0, what is the area of the trapezoid? (Hint: Area of a Trapezoid =numerator: the quantity b sub 1 plus b sub 2 all times h; demonimator: 2 (b₁ + b₂)h 2

1. 24x⁴y⁸
   Incorrect. You must use the laws of exponents and the formula for the area of a trapezoid to find the answer.
2. 9x⁴y⁸
   Incorrect. You must use the laws of exponents and the formula for the area of a trapezoid to find the answer.
3. 10x³y⁵
   Correct! The laws of exponents and the formula for the area of a trapezoid were used to find the answer.
4. 12x⁴y⁸
   Incorrect. You must use the laws of exponents and the formula for the area of a trapezoid to find the answer.