Question

Rebecca was gifted a magical plant. On first day, its length was 5 inches, on second day its length was 25 inches and in same way, each next day its height was 5 times that of previous day. What would have been height of the tree on $4^{th}$ day?

• A. $125\text{in}$
• B. $250\text{in}$
• C. $625\text{in}$
• D. $3125\text{in}$

Answer 1

The correct option is C $625\text{in}$

Given that each next day plant's height was 5 times that of previous day.
Magical plant's height on the first day was 5 inches.

hence, the plant's height on 4th day was $5^4\text{in}$

For the base of 5 and exponent value of 4, the value can be written as :
$5^4=5\times 5\times 5\times 5=625$
Hence, $5^4=625\text{in}$