Answer:
Step-by-step explanation:
Doing this the long way, write a^12 as a product of "a"s
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
Now group them into groups of 4
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
There are 3 groups of 4 so you can write it as [(a^4)]^3 which is a cube
Now do the same thing with groups of 6s
a^12 = a * a * a * a * a * a * a * a * a * a * a * a
a^12 = (a^6)^2
So the two answers are
Perfect cube: [(a^4)]^3
Perfect square: (a^6)^2
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Given:
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
To find:
The number of students in the class.
Solution:
Let the number of boys are girls are 4x and 7x respectively, where, x must be a positive integer because number of boys and girls is always a positive integer. Then, the total number of students is
It means total number of students is multiply of 11.
Multiples of 11 are 11, 22, 33, 44, ... . So, multiples of 11 between 24 and 40 is 33.
Therefore, the total number of students in the class is 33.
Answer:
25
Step-by-step explanation:
Ratios:

Double check:
25(0.36) = 9