Question

The length of each side of a square wooden box, in inches, is represented by the expression 8m2. The volume of the box, in cubic inches, is (8m2)3.

Which simplified expression represents the volume of the box?

8m6

24m5

512m5

512m6

Answer 1

The third choice is correct. I'm assuming the 2 and the 3 in the question represent exponents. When you multiply exponents, you add their values, so 2 + 3 = 5. 8 to the third power is just 512.

Answer 2

A greenhouse that specializes in growing bell peppers is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.

In a section with x sprinklers, there are 3x(x + 3) red bell pepper plants and (x + 4)2 yellow bell pepper plants.

Which simplified expression represents the total number of red and yellow bell pepper plants in a section with x sprinklers?

3x2 + 17x + 16

4x2 + 17x + 16

3x4 + 17x2 + 16

4x4 + 17x2 + 16