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1 year ago

Can someone help me this is Algebra 2 thank you

Mathematics

1 answer:

ratelena [41]1 year ago

5 0

Answer:

Order of exponentiation can be swapped here, and the fractional power written as a root.

Step-by-step explanation:

The commutative property of multiplication and the rules of exponents apply.

<h3>Product of exponents</h3>

The rule is ...

(a^b)^c = a^(bc)

<h3>Application</h3>

The given expression can be rearranged to ...

$\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}$

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The population of a rabbit colony triples every 3 days. The population starts at 10 rabbits. Write an exponential function that

qaws [65]

Answer:

Step-by-step explanation:

The population at various days is as follows since population triples every 3 days

<u>Day</u> <u>Population</u>

0 10

3 30

6 90

9 270

.... ......

This can be modeled by the general equation

$n_{t} = n_{0}(r)^{t/k}$

where

$n_{t}$ is the population after t days

$n_{0}$ is the population at start (10)

$r$ is the rate at which population changes ie 3

$t$ is the number days from start

$k$ is the number of days at which the population triples(here k =3 days)

We can check this by plugging in values for each of the variables

At day 0, population = 10(3)⁰ = 10. 1 = 10

Similarly populations for days 3, 6, 9 are:

$\\\\10.3^{3/3} = 10. 3^1 = 10.3 = 30\\10.3^{6/3} = 10. 3^2 = 10.9 = 90\\\\10.3^{9/3} = 10. 3^3 = 10.27 = 270$

8 0

8 months ago

Read 2 more answers

X-yz for x=-2 y=5 solve for z

mr_godi [17]

Answer:

-5z - 2

Step-by-step explanation:

x - yz when x = -2 and y = 5

-2 - 5z

Since we don't have any like terms and an equal sign, we can't simplify any further.

Best of Luck!

7 0

2 years ago

Find the least common multiple of 9 and 15

fgiga [73]

Answer:

Step-by-step explanation:

9:9,18,27,36,45

15:15,30,45

7 0

1 year ago

Read 2 more answers

PLEASE HELP !!!!!!

natka813 [3]

Answer:

$\frac{1}{ \sqrt[7]{ {12}^{4} } }$

Step-by-step explanation:

${12}^{ - \frac{4}{7} } is \: the \: same \: as \\ \frac{1}{ {12}^{ \frac{4}{7} } } \\ {12}^{ \frac{4}{7} } can \: also \: be \: expressed \: as \\ \sqrt[7]{ {12}^{4} }$

Therefore:

${12} ^ { -\frac{4}{7} } \: is \: equivalent \: to \\ \frac{1}{ \sqrt[7]{ {12}^{4} } }$

5 0

1 year ago

Find the probability. Leave your answer in simplest fraction form.

kodGreya [7K]

Answer:

5/6

Step-by-step explanation:

The numbers on a six-sided die are as shown:

1, 2, 3, 4, 5, 6

The even numbers are:

2, 4, 6

The numbers greater than 3 are:

3, 4, 5, 6

Both lists together are:

2, 3, 4, 5, 6

Because 5 out of 6 numbers satisfy these conditions, the probability of satisfying these conditions is 5/6.

8 0

1 year ago

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