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Assoli18 [71]
3 years ago
11

Which expression is equivalent too ooo​

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
6 0

By definition of multiplication of powers of the same base we have to put the same base and add the exponents, then, we can rewrite the expression as:

(2 ^ {\frac {1} {2} + \frac {3} {4}}) ^ 2 =\\(2 ^ {\frac {4 + 6} {8}}) ^ 2 =\\(2 ^ {\frac {10} {8}}) ^ 2 =\\(2 ^ {\frac {5} {4}}) ^ 2 =

By definition of power properties we have to:

(a ^ n) ^ m = a ^ {n * m}

So, we have:

2 ^ {\frac {10} {4}} =\\2 ^ {\frac {5} {2}} =

By definition of properties of powers and roots we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So, the expression is equivalent to:

2 ^ {\frac {5} {2}} = \sqrt {2 ^ 5}

ANswer:

Option B

k0ka [10]3 years ago
5 0

Answer:

a

Step-by-step explanation:

becuase you distribute the numbers

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8/3 X 7/10 X 6/1 plz help me
Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

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2 years ago
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barxatty [35]
0.43 should be the answer.
6 0
3 years ago
In right ∆LMN, sin M = 0.759. What is cos N? A. 0.121 B. 0.241 C. 0.349 D. 0.651 E. 0.759
Hatshy [7]

Answer:

E. 0.759

Step-by-step explanation:

You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN

The sine of angle ∠LMN is 0.759, find the value of ∠LMN

sin^-1(0.759)=49.38

∠LMN=49.38°

Find angle ∠LNM

You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence

∠LNM=180°-(90°+49.38°)

∠LNM= 180°-139.38°=40.62°

Find cos 40.62°

Cos 40.62°=0.7590

6 0
3 years ago
Please answer A B C or D:
ss7ja [257]
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8 0
2 years ago
The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability
slega [8]

Answer: 0.1008188

Step-by-step explanation:

The question will usng the poisson distribution formula:

Given :

Mean(λ) number of occurrence in a given interval = 3

P(X=x) = Probability of exactly x occurrence in a given interval

Number of desired occurence(x) = 5

P(X=x) = [(λ^x) * (e^-λ)] / x!

Where ; e = base of natural logarithm = 2.7182818

P(X=5) = [(3^5) * (e^-3)] / 5!

P(X=5) = [(243) * (0.0497870)] / 120

P(X=5) = [12.098257] / 120

P(X=5) = 0.1008188

6 0
3 years ago
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