## Step 1

We can"t include two fractions with various denominators (the bottom number). Therefore you need to get a typical denominator - both bottom numbers must match. To execute this, you"ll main point the denominators times each other... Yet the numerators have to change, too. They acquire multiplied by the other term"s denominator.

You are watching: 2^(7/12)

So us multiply 7 by 7, and get 49, then us multiply 12 through 7 and also get 84. Do the exact same for the second term. Us multiply 2 by 12, and also get 24, then multiply 12 by 7 and get 84. So currently our fractions look favor this:

49
 84
+24
84

## Step 2

Since our platform match, we can add the numerators.

49 + 24 = 73

73
 84

## Step 3

Last the all, we have to simplify the fraction, if possible. Deserve to it be lessened to a simpler fraction?

To find out, we try dividing the by 2...

Nope. Shot the next prime number, 3...

Nope. Shot the next prime number, 5...

Nope. Try the following prime number, 7...

Nope. Try the next prime number, 11...

Nope. Shot the next prime number, 13...

Nope. Shot the following prime number, 17...

Nope. Try the next prime number, 19...

Nope. Shot the following prime number, 23...

Nope. Try the following prime number, 29...

Nope. Try the next prime number, 31...

Nope. Try the next prime number, 37...

Nope. Try the following prime number, 41...

Nope. Try the following prime number, 43...

Nope. Shot the next prime number, 47...

Nope. Shot the following prime number, 53...

Nope. Shot the following prime number, 59...

Nope. Shot the following prime number, 61...

Nope. Shot the next prime number, 67...

Nope. Try the next prime number, 71...

Nope. Shot the following prime number, 73...

Nope. Try the following prime number, 79...

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No good. 79 is bigger than 73. So we"re excellent reducing.