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Diano4ka-milaya [45]
3 years ago
10

Which of the following is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x ?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0
When multiplying numbers of the same base , we add the powers.
Example:
2^2 * 2^3 = 2^(2+3) = 2^5

For the givens:
The seventh root of x can be written as x^(1/7)
Now, we need to multiply x^(1/7) by x^(1/7) by x^(1/7)
These numbers have the same base which is "x", therefore, we will just add the power.
This means that:
x^(1/7) * x^(1/7) * x^(1/7) = x^(1/7 + 1/7 + 1/7) = x^(3/7)

Therefore, the correct choice is the first one: x^(3/7)

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3 years ago
Given that f(x) =<br> X + 3<br> 2 <br> a) Find f(2)<br> b) Find f'(x)<br> c) Find f"(12)
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Answer:

Step-by-step explanation:

Unclear.  Did you mean f(x) = 2^(x + 3)?  If so, the parentheses are mandatory.

Assuming that f(x) = 2^(x + 3) is correct, then:

a) f(2) = 2^(2 + 3) = 2^5 = 32

b) f'(x) = 2^(x + 3)*(x + 3)' = 2^(x + 3)(1) = 2^(x + 3)

c) f"(x) = 2^(x + 3) (same as in (b)), so that:

   f"(12) = 2^15

8 0
3 years ago
Which best explains why 5 x 4 is greater than 5 x 1/4 ?
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Because one is put into fraction form. Therefore the one in fraction form is going to be smaller. 5*4=20 and 5*1/4=1.25. I hope my answer helped you.
3 0
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