Question

Rachel's garden is square in shape. The length of one side of her garden is 5 to the 2nd feet. What is the area of her garden in square feet?

Express your answer using exponents.
A. 10 to the 4th power
B. 10 to the 2nd power
C. 5 to the 4th power
D. 625
The picture shows the question and the No. is 6

Answer 1

The area of Rachel's square garden is found by squaring the length of one side, which is 5 to the 2nd power. The correct answer for the area is 5 to the 4th power or 625 square feet. Hence, C or D are correct.

Step-by-step explanation:

The area of Rachel's garden, which is square in shape, can be calculated by squaring the length of one side. Since the length of one side is 5 to the 2nd power (52), the area is the side length multiplied by itself.

Therefore, the area is 52 × 52, which is 5 to the 4th power (54).

When we multiply exponents with the same base, we add the exponents, so 52 × 52 equals 52+2, which is 54. The value of 54 is 625. Therefore, the correct answer is C. 5 to the 4th power.