The expression (x³)(x²) is equivalent to xⁿ. What is the value of n?

• A. 1

• B. -1

• C. 6

• D. 5

Tanisha is finding the area of a kitchen in the shape of a rectangle. The length is x²y³ and the width is 4x⁹y⁵. Find the area of the kitchen.

Mathematical Equivalence

ON

A rectangular prism has a length of 6a³b² cm, a width of 3ab⁴ cm, and a height of a⁶b² cm. What is the volume of the prism using the formula: Volume = (L)(W)(H)

• A. 18a¹⁰b⁸ square cm

• B. 9a¹⁰b³ square cm

• C. 2a²b¹ square cm

• D. 12a⁶b⁵ square cm

The area of a rectangle is 8x¹⁰y⁸ square meters. If the length of the rectangle is 2x⁴y⁶ meters, which expression represents the width of the rectangle in meters?

• A. 4x⁶y² meters

• B. 6x⁶y² meters

• C. 16x¹⁴y¹⁴ meters

• D. x⁶y² meters

Which expression is equivalent to the expression shown above?

• A. 1.1 × 10²

• B. 2 × 10¹³

• C. 2 × 10²

• D. 4 × 10²

Simplify the following expression: (3xyz)⁰

Mathematical Equivalence

OFF

Which expression is equivalent to (5a⁰b²c¹) (3a⁶b⁹c⁰) for all values of a, b, and c where the expression is defined?

• A. 8a⁶b¹¹c⁴

• B. 15a⁶b¹¹c⁴

• C. 15a⁷b¹¹c⁵

• D. 15b¹⁸

Find the area of a triangle with a base of 4x²y² cm and a height of 5x⁴y³ cm.

Hint: A = (1/2)(b)(h) or (bh)/2

• A. 20x⁶y⁵ square cm

• B. 9x⁶y⁵ square cm

• C. 10x⁶y⁵ square cm

• D. 20x⁸y⁶ square cm

Which expression is equivalent to the expression shown above?

• A. 16x⁴y⁴

• B. 4xy⁴

• C. 9x⁵

• D. 16xy⁴

Simplify the expression shown above.

Mathematical Equivalence

ON