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STatiana [176]
3 years ago
11

What is 4 square root of 81 to the fifth power in exponential form

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0

Answer:

B is the answer.

Step-by-step explanation:

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

\sqrt[4]{81^{5} } =  81^{\frac{5}{4} }

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Factors of 6 are : 1,2,3 and 6.

Let us find probability of getting the number that is a factor of 6.

P(\text{ The number is a factor of 6})=\frac{4}{6} =\frac{2}{3}

Now let us find probability of getting a number more than 2 (3,4,5,6).

P(\text{ The number is a greater than 2})=\frac{4}{6} =\frac{2}{3}

We can see that these two events are mutually inclusive events. We can find probability of mutually inclusive events by formula P(\text{X or Y})=P(X)+P(Y)-P(\text{X and Y}).  

P(\text{ The number is a factor of 6 and greater than 2})=\frac{2}{6} =\frac{1}{3}

Now we will find probability of getting the number is a factor of 6 or more than 2 using above formula.

P(\text{ The number is a factor of 6 or greater than 2})=\frac{2}{3} +\frac{2}{3}-\frac{1}{3}    

P(\text{ The number is a factor of 6 or greater than 2})= \frac{4}{3}-\frac{1}{3}=\frac{3}{3}=1  

Therefore, our probability will be 1 and this scenario represents mutually inclusive events.  

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