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3 years ago

How to get rid of fraction exponents?. for example: x^(1/2)

Mathematics

2 answers:

Komok [63]3 years ago

8 0

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

so
$x^{ \frac{1}{2} }= \sqrt[2]{x^1}$ or √x

Alexxx [7]3 years ago

6 0

Fractional exponents are also called radicals or rational exponents. To get rid of this type of exponents, we remember the law of exponents when we multiply them. For instance,

x^1/2

x^1/2 ( x^1/2 ) = x^(1/2+1/2) = x^(1) = x

Therefore, x^1/2, when 2 times in a multiplication gives x and so x^1/2 is the square root of x.

You might be interested in

What three consecutive integers equal -87?

olchik [2.2K]

Answer:

What three consecutive integers have a sum of 87? Which means that the first number is 28, the second number is 28 + 1 and the third number is 28 + 2. Therefore, three consecutive integers that add up to 87 are 28, 29, and 30. We know our answer is correct because 28 + 29 + 30 equals 87 as displayed above.

Step-by-step explanation:

Consecutive integers are as simple as 1, 2, 3!

Integers are consecutive if one follows another. How do we "jump" from one integer to the next? We add 1, right? 7, 8 and 9 are three consecutive integers. Add one to 7 to get 8 and add one more to get 9.

Now lets think about this in algebraic terms. Lets name these consecutive integers , x, y and z.

The problem tells us that their sum is -87. (Recall, "sum" is just a fancy word for the answer when we add.)

x+y+z = -87

Here is the trick! We need to rewrite this equation so that we have only one variable. Easy!

y is one more that x, so y= x+1

And z is one more than y, so z= y+1. But y is also equal to (x+1)! So z=y+1=(x+1)+1=x+2

Now we have a problem that we can solve! x+(x+1)+(x+2)=-87.

Combining term.: 3x+3=-87

Subtract 3 from both sides of the equation: 3x=84

Divide each side of the equation by 3: x=28

We have solved for x, but we are not done! We need to find y and z. I know you can do this. Remember y is one more than x and z is one more than y.

Check your work! Make sure these three consecutive numbers do in fact add up to -87.

4 0

3 years ago

At the city museum, child admission is $ 5.30 and adult admission is $ 8.50 . On Tuesday, 162 tickets were sold for a total sale

zaharov [31]

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7 0

3 years ago

You noticed that $750 was stolen from your checking account using your debit card, but life being as busy as it is, you didn't r

Mekhanik [1.2K]

Answer:

The answer is: full liability for unauthorized debit charges

Explanation:

Once you discover that an amount of money was stolen from your debit card account, it is important to report it immediately to the card issuer. This will prevent "liability for unauthorized debit charges on your end." Each type of card that you avail has a set of rules when it comes to the card owner's duties and liabilities.

You have to tell your card issuer, either by writing or by phone. This should be done within 60 days from the time you encountered the issue. This will allow you to dispute any unauthorized charges. However, the sooner you report, the better it will be so you won't incur any liabilities.

So, in the case above, you didn't report the fraudulent activity until 75 days. This gives you a "full liability for unauthorized debit charges."

Thus, this explains the answer.

3 0

3 years ago

What is a monomial of the 2nd degree with a leading coefficient of 3

MissTica

Answer:

the answer is a quadratic

Step-by-step explanation:

A second degree polynomial is also called a "quadratic." Examples are 4x2, x2 - 9, or 6x2 + 13x + c. Just for fun, a third degree polynomial is called a "cubic", a fourth degree is called a "quartic", and a fifth degree polynomial is called a "quintic.

7 0

3 years ago

AveGali [126]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As $Time = \frac{Distance }{Speed}$