# finding the value of this equation: find the value of m when : sqrt(128)= 2^m

#### bumblebee123

##### New member
Hi,

I am stuck on a question. I have been looking at all the rules surrounding surds and exponents but, though the expression looks easy, I can't do it.

I am asked to find the value of m when : sqrt(128)= 2^m

I can simplify: sqrt (128) = 8sqrt(2)

I can't or just don't know how to solve this one.

Can anyone help me please?

Thank you

#### MarkFL

##### Super Moderator
Staff member
$$\displaystyle \sqrt{128}=\sqrt{2^7}=2^{\Large\frac{7}{2}}$$