59 −1
5

Step 1

We can"t subtract 2 fractions via different denominators. So you have to acquire a prevalent denominator. To do this, you"ll multiply the denominators times each other... yet the numerators need to adjust, also. They acquire multiplied by the other term"s denominator.

You are watching: 5^(1/5)

So we multiply 5 by 5, and also gain 25.

Then we multiply 1 by 9, and also gain 9.

Next we provide both terms new denominators -- 9 × 5 = 45.

So currently our fractions look like this:

25
45
−9
45

Step 2

Since our denominators match, we can subtract the numerators.

25 − 9 = 16

So the answer is:

16
45

Tip 3

Last of all, we have to simplify the fractivity, if feasible. Can it be reduced to a less complicated fraction?

To discover out, we attempt dividing it by 2...

Nope! So now we attempt the following greatest prime number, 3...

Nope! So now we try the following best prime number, 5...

Nope! So now we attempt the following best prime number, 7...

Nope! So currently we try the following biggest prime number, 11...

Nope! So currently we attempt the following biggest prime number, 13...

Nope! So now we attempt the following greatest prime number, 17...

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No excellent. 17 is larger than 16. So we"re done reducing.

There you have it! The final answer is:5
9
−1
5
=16
45

1/5 + 1/2
1/5 - 1/2
1/5 + 1/3
1/5 - 1/3
1/5 + 2/3
1/5 - 2/3
1/5 + 1/4
1/5 - 1/4
1/5 + 2/4
1/5 - 2/4
1/5 + 3/4
1/5 - 3/4
1/5 + 1/5
1/5 - 1/5
1/5 + 2/5
1/5 - 2/5
1/5 + 3/5
1/5 - 3/5
1/5 + 4/5
1/5 - 4/5
1/5 + 1/6
1/5 - 1/6
1/5 + 2/6
1/5 - 2/6
1/5 + 3/6
1/5 - 3/6
1/5 + 4/6
1/5 - 4/6
1/5 + 5/6
1/5 - 5/6
1/5 + 1/7
1/5 - 1/7
1/5 + 2/7
1/5 - 2/7
1/5 + 3/7
1/5 - 3/7
1/5 + 4/7
1/5 - 4/7
1/5 + 5/7
1/5 - 5/7
1/5 + 6/7
1/5 - 6/7
1/5 + 1/8
1/5 - 1/8
1/5 + 2/8
1/5 - 2/8
1/5 + 3/8
1/5 - 3/8
1/5 + 4/8
1/5 - 4/8
1/5 + 5/8
1/5 - 5/8
1/5 + 6/8
1/5 - 6/8
1/5 + 7/8
1/5 - 7/8
1/5 + 1/9
1/5 - 1/9
1/5 + 2/9
1/5 - 2/9
1/5 + 3/9
1/5 - 3/9
1/5 + 4/9
1/5 - 4/9
1/5 + 5/9
1/5 - 5/9
1/5 + 6/9
1/5 - 6/9
1/5 + 7/9
1/5 - 7/9
1/5 + 8/9
1/5 - 8/9
1/5 + 1/10
1/5 - 1/10
1/5 + 2/10
1/5 - 2/10
1/5 + 3/10
1/5 - 3/10
1/5 + 4/10
1/5 - 4/10
1/5 + 5/10
1/5 - 5/10
1/5 + 6/10
1/5 - 6/10
1/5 + 7/10
1/5 - 7/10
1/5 + 8/10
1/5 - 8/10
1/5 + 9/10
1/5 - 9/10
1/5 + 1/11
1/5 - 1/11
1/5 + 2/11
1/5 - 2/11
1/5 + 3/11
1/5 - 3/11
1/5 + 4/11
1/5 - 4/11
1/5 + 5/11
1/5 - 5/11
1/5 + 6/11
1/5 - 6/11
1/5 + 7/11
1/5 - 7/11
1/5 + 8/11
1/5 - 8/11
1/5 + 9/11
1/5 - 9/11
1/5 + 10/11
1/5 - 10/11
1/5 + 1/12
1/5 - 1/12
1/5 + 2/12
1/5 - 2/12
1/5 + 3/12
1/5 - 3/12
1/5 + 4/12
1/5 - 4/12
1/5 + 5/12
1/5 - 5/12
1/5 + 6/12
1/5 - 6/12
1/5 + 7/12
1/5 - 7/12
1/5 + 8/12
1/5 - 8/12
1/5 + 9/12
1/5 - 9/12
1/5 + 10/12
1/5 - 10/12
1/5 + 11/12
1/5 - 11/12