# How do you write #2^(7 / 8)/2^(1/4) # as a radical?

##### 2 Answers

Jun 5, 2016

#### Explanation:

first do division

then it is equivalent to the radical

or

Jun 5, 2016

#### Explanation:

Using the law of indices for dividing if the bases are the same, we can simplify the f,raction by subtracting the indices to get

The law of indices involving fractional indices states

So,

The denominator becomes the root and the numerator becomes the power - it can be inside or outside the root sign.