Mathematics, 12.10.2019 20:00 rebeccamckellpidge

Mario simplified the expression as shown.

which statement explains mario’s error?

Mario simplified the expression as shown. which statement explains mario’s e

Answers: 3

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Answers

Answer from: mika08

Last option

Step-by-step explanation:

1. According to the properties of exponents, you have that:

$a^{-n}=\frac{1}{a^n}\\\\(a^n)^m=a^{mn}$

2. Then, he must simplify the expression as following:

$(4z^8)^{-3}={4^{-3}z^{8(-3)}=\frac{1}{64z^{24}}$

3. Therefore, as you can see, should have also applied the negative exponent to 4 to get $(4z^8)^{-3}={4^{-3}z^{8(-3)}=\frac{1}{64z^{24}}$

Answer from: chelsea73

The correct answer option is He should have also applied the exponent -3 to 4 to get $4^{-3}z^{8 \cdot(-3)} = 4^{-3}z^{-24} = \frac{1}{64z^{24}}$ .

Step-by-step explanation:

The following expression was to be simplified by Mario:

(4z^8)^-3

Given this expression, we need to apply this rule on it in order to simplify:

$(a b)^m = a^m \cdot b^m$

So we would get:

(4z^8)^-3

$4^{-3} \cdot (z^8)^{-3}$

$\frac{1}{4^3} \cdot z^{-24}$

$\frac{1}{64z^{24}}$

This would be the right simplification for the given expression but by looking at Mario's work shown, we can conclude that:

He should have also applied the exponent -3 to 4 to get $4^{-3}z^{8 \cdot(-3)} = 4^{-3}z^{-24} = \frac{1}{64z^{24}}$ .

Answer from: Quest

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 !

Answer from: Quest

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides

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