# How do you simplify #(2)^(3/6)#?

##### 3 Answers

Mar 23, 2018

#### Explanation:

Simplify the fraction in the index first.

Mar 23, 2018

#### Explanation:

#"using the "color(blue)"law of exponents"#

#•color(white)(x)a^(m/n)=root(n)(a^m)#

#"simplify the exponent, that is "3/6=1/2#

#rArr2^(3/6)=2^(1/2)=sqrt2#

Mar 23, 2018

#### Explanation:

You can simplify the fractional exponent just like any fraction:

This can also be expressed as:

We can prove this by the following:

We know that the square root of a number, when multiplied by itself equals the number. So:

So: