Question

maureen plants tulips in a rectangular flower bed that is \\(2^3\\) feet wide and \\(2^4\\) feet long.

what is the area of the flower bed?

48 square feet
128 square feet
4,096 square feet
16,384 square feet

Explanation:

Set up the area formula for a rectangle

$$ \text{Area} = \text{width} \times \text{length} $$

$$ \text{Area} = 2^3 \times 2^4 $$

Apply the product rule for exponents

$$ 2^3 \times 2^4 = 2^{3+4} = 2^7 $$

Calculate the final numerical value

$$ 2^7 = 128 $$

Answer:

• 48 square feet
• 128 square feet (Correct answer)
• 4,096 square feet
• 16,384 square feet