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anyanavicka
3 months ago
7

What is the quotient StartFraction 2 m Superscript 9 Baseline n Superscript 4 Baseline Over Negative 4 m Superscript negative 3

Baseline n Superscript negative 2 Baseline EndFractionin simplest form? Assume m not-equals 0, n not-equals 0.
Negative StartFraction m Superscript 12 Baseline n Superscript 6 Baseline Over 2 EndFraction
Negative StartFraction m Superscript 27 Baseline n Superscript 8 Baseline Over 2 EndFraction
6 m Superscript 12 Baseline n Superscript 6 Baseline
8 m Superscript 12 Baseline n Superscript 6 Baseline
Mathematics
2 answers:
zzz [12.3K]3 months ago
7 0

Answer:

-\frac{m^{12}n^{6}}{2}

Step-by-step explanation:

We aim to determine the quotient of \frac{2m^9n^4}{-4m^{-3}n^{-2}}

Using the quotient rule of indices, we will simplify the provided exponential expression.

\frac{a^m}{a^n}=a^{m-n}

This leads to:

\frac{2m^9n^4}{-4m^{-3}n^{-2}}=-\frac{1}{2}m^{9--3}n^{4--2}

By simplifying the exponents, we obtain:

\frac{2m^9n^4}{-4m^{-3}n^{-2}}=-\frac{1}{2}m^{12}n^{6}

Alternatively,

\frac{2m^9n^4}{-4m^{-3}n^{-2}}=-\frac{m^{12}n^{6}}{2}

Thus, the correct choice is -\frac{m^{12}n^{6}}{2}

AnnZ [12.3K]3 months ago
7 0

Answer:

-\frac{m^{12}n^{6}}{2}

You’ve got this!!

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Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population for the fish of that species
Inessa [12570]

Answer:

2.30 years

Step-by-step explanation:

The fish population increased threefold in the first year, resulting in 240 * 3 = 720 fish.

(a) The logistic equation can be represented as follows

P = P_0e^{kt}

where P0 = 240 denotes the initial fish count; substituting P = 720 and t = 1 allows us to determine the constant k

720 = 240e^{1k}

e^k = 3

k = ln3 = 1.1

b) By applying the formula below

P = P_0e^{kt}

with P set to 3000, P0 as 240, and k equal to 1.1, we can compute the duration needed for the population to reach 3000 fish

3000 = 240e^{1.1t}

12.5 = e^{1.1t}

1.1t = ln12.5 = 2.53

t = 2.30 years

6 0
2 months ago
An i plz get some help
PIT_PIT [12445]

Answer:

I’d say it’s moderate in my opinion

Step-by-step explanation:

I might not be correct, so it’s best to wait for another person's input if my answer isn’t what you seek

5 0
1 month ago
A group of farmers bought 28 tractors and trucks. There were 1.8 times more tractors than trucks. How many tractors and how many
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In total, there are 10 trucks and 18 tractors. I arrived at this by multiplying 10 by 1.8, which equals 18. Adding the number of trucks and tractors gives a total of 28.
5 0
3 months ago
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