A group of students were given an assignment to collect different type...
32 = 2 x 2 x 2 x 2 x 2 = 25
Therfore, the correct answer is A.
A group of students were given an assignment to collect different type...
Explanation:
To represent the number of leaves collected in the form of an exponential expression with its base being indivisible, we need to find a number that when raised to a power, will give us the total number of leaves collected.
The given options are:
a) 25
b) 23
c) 24
d) None of the above
To determine the correct option, we need to find a number that can be expressed as a power of an indivisible base such that the exponent gives us the total number of leaves collected.
Option a) 25:
25 can be expressed as 5^2, where 5 is an indivisible base. However, 5^2 is equal to 25, which does not match the total number of leaves collected, which is 32. Hence, option a) 25 is not the correct answer.
Option b) 23:
23 cannot be expressed as a power of an integer, so it cannot be the base for our exponential expression. Hence, option b) 23 is not the correct answer.
Option c) 24:
24 can be expressed as 2^3 * 3, where both 2 and 3 are indivisible bases. However, 2^3 * 3 is equal to 24, which does not match the total number of leaves collected, which is 32. Hence, option c) 24 is not the correct answer.
Option d) None of the above:
Since none of the given options match the conditions of having an indivisible base and being equal to the total number of leaves collected, we can conclude that option d) None of the above is the correct answer.
Therefore, the correct answer is option d) None of the above.