What is the simplified value of the exponential expression 16^1/4?

Answers

Answer 1
Answer:

The simplified value of the exponential expression 16^(1)/(4)is 2.

What does Fractional power mean for an integer?

Fractional power implies the root of the strength of the denominator of that integer.

For example: a^(1)/(n)=\sqrt[n]{a}.

Given here the exponential expression is 16^(1)/(4)

So here a=16,n=4

We know that, 2^4=16

Thus, 16^(1)/(4)=\sqrt[4]{16}=\sqrt[4]{2^4}=2

Hence the equivalent value of the given expression 16^(1)/(4) is 2.

Learn more about Fractional Power here -

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Answer 2
Answer:

Answer

2

Explanation

First, we are going to use the law of fractional exponents: a^{(1)/(n) =\sqrt[n]{a}

We can infer form our expression that a=16 and n=4, so let's replace the values:

a^{(1)/(n) =\sqrt[n]{a}

16^{(1)/(4) }=\sqrt[4]{16}

Notice that we can also decompose 16 into prime factors to get 16=2^4, so we can rewrite our expression as follows:

\sqrt[4]{16}=\sqrt[4]{2^4}

Finally, we can use the rule of radicals: \sqrt[n]{a^n} =a, so:

\sqrt[4]{2^4}=2



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Find the inverse function of g(x) = 2x + 4.g -1(x) = 4x + 2 g -1(x) = 2x + 1/2 g -1(x) = 1/2 x - 2 g -1(x) = 2x - 4
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A number written in the form of a + bi is called a

See image for question.​

Answers

Answer:

  • See below

Step-by-step explanation:

#3

  • P(A) = 3/8
  • P(B) = 2/7

(i)

  • P(A and B) = P(A) * P(B) = 3/8*2/7 = 3/28

(ii)

  • P(A or B) = P(A) + P(B) - P(A and B) = 3/8 + 2/7 - 3/28 = 1/56(21 + 16 - 6) = 31/56

(iii)

  • P(not A and not B) = P(not A) * P(not B) = (1 - 3/8)*(1 - 2/7) = 5/8*5/7 = 25/56

Another way:

  • P(not A and not B) = 1 - P(A or B) = 1 - 31/56 = 25/56

#4

Outcomes with two fair coins: TT, TH, HT, HH

Outcomes with normal dice: 1 to 6

a)

  • P(odd number) = 3/6 = 1/2

b)

  • P(two heads and an even number) = 1/4*3/6 = 1/8

c)

  • P(head and tail) = 1/2
  • P(prime) = 3/6 = 1/2 (primes are 2, 3 and 5)
  • P(head, tail and prime) = 1/2*1/2 = 1/4

d)

  • P(two tails and odd number) = 1/4*3/6 = 1/8

Pls help me my class ends soon, i’ll give brainliest

Answers

Answer:

D

Step-by-step explanation:

First of all, she wants to INCREASE her steps per day. A, B, and C all have the same number of steps or fewer steps. I can further prove that the answer is D because if she stars walking 10 extra steps per day, 10 times 100 = 1000 and 5000 + 1000=6000. Please correct me if I am wrong because everybody makes mistakes sometimes. Also, thanks so much for giving me brainiliest!      

Edit: If I was helpful to you, please take a shot at my puzzle that's due Monday.      

It is worth 100 points and would mean a lot to me if you could try and solve it. Good luck! Here is the link: brainly.com/question/19021808        

Christopher has breakfeast at a cafe and his cost of his meal is 36.00 dollars becssue of the service he wants to leave a 19% tip What. Is his total billl including tip?

Answers

Answer:

$42.84

Step-by-step explanation:

There are two ways to do this.

One

19% of 36 = 19/100 * 36 = $6.84

Total 36 + 6.84  = $42.84

Two

The second method involves knowing that his total is going to wind up being 119% of the bill. That's 100% + 19%

So the equation look like this

(119/100) * 36

or

(119 * 36) / 100 = 4284 / 100 = $42.84

Note

Both methods give you the same answer.

Benjamin works at a printing company. Heis making T-shirts for a high school volleyball
team. The press he runs can imprint 3 T-shirts
per minute with the school's mascot.

Answers

Answer:

The independent quantity is time and the dependent quantity is T-shirt printed

Step-by-step explanation:

We are asked to determine the dependent and independent quantity.

An independent quantity is a quantity that is not dependent on other quantities while a dependent quantity is a quantity that depends on other quantity. In the the question, the number of T-shirts being made depends on the amount of time the machine works making 3 T shirts per minute, this means that the number of T-shirts made is dependent on the time.

The independent quantity is time and the dependent quantity is T-shirt

What are the excluded values of the function? y = 5/6x-72A.
x=0

B.
x=12

C.
x=72

D.
x=11

Answers

The answer is B. 12 (I just took the test)


Hello,

y=5/(6x-72)
==>6x-72≠0
==>x≠72/6
==>x≠12

What transformation is represented by the rule
(x,  y)→(−y,  x)

Answers

x and y are switched and y times -1 so

reflection across the x=y line (identiy line)
and since the x place it times -1, that is a reflection across y axis

so reflection across x=y line and y axis
it is going from quadrant 1 to quadrant 4.

it is reflected right?

sorry it has been a while since I have done this but I hope it helps :)