$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2$

Step-by-step explanation:

Given: $(2^\frac{1}{4} )^4$

We have too choose the correct simplification for the given statement.

Consider $(2^\frac{1}{4} )^4$

Using property of exponents, $(a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)$

We have,

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}$

Again applying property of exponents $a^m\times a^m=a^{n+m}$

We have,

$(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}$

Simplify, we have,

$(2^\frac{1}{4} )^4=2^{\frac{4}{4}}$

we get,

$(2^\frac{1}{4} )^4=2^{1}=2$

Thus, $(2^\frac{1}{4} )^4=2$

Option (b) is correct.

8 0

3 years ago

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Help me please thanks

Rus_ich [418]

Answer:

Step-by-step explanation:

the domain is 7

the range is 2

the function is non

8 0

3 years ago

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Which of the sets of three dimensions could make a right triangle

hodyreva [135]

Answer:

B) 6, 8, 10

Step-by-step explanation:

All right triangles will follow the following theorem (Pythagorean theorem):

$a^2+b^2=c^2$ , where $a$ and $b$ are two legs of the triangle and $c$ is the hypotenuse. Out of all answer choices, only B) 6, 8, 10 follow this theorem.

4 0

2 years ago

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a tennis player hits a serve that cannot be returned 45 percent of the time. Out of 300 serves, how many can yiu predict will no

lubasha [3.4K]

Remember that 45%=45/100=0.45

So if the tennis player serves the ball 300 times, and 45% cannot be returned, then we can use the following expression to solve for the answer:

300*0.45=135serves

Answer: 135 serves will not be returned

4 0

3 years ago