Simplify (5^ -2 ) ^ 4
A. 5 ^ 2
B. 1/(5 ^ 8)
C. 1/(5 ^ 6)
D. 5 ^ 8

The correct answer is B. 1/5⁸

Step-by-step explanation:

When a number raised to to a power is raised to another power, then the exponents are multiplied, which means that the result is five to the power of negative two times four, or five to the power of eight.

Any negative power indicates that the base is a denominator, so the end result is 1/5⁸

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !