Solve for k: 8√8 = 8^k - Easy Method Explained

[thomas49th]

8\sqrt{8} can be written in the form 8^{k}

Find the value of k

I'm positive is a really easy question I though that k = 1/8, but that is wrong.
What is the method to answer this question.. I used trial and error and got k = 3/2, but what is the proper way?

Thanks

 

[Hootenanny]

Well what is a if \sqrt{8} = 8^{a}?

What is b if 8 = 8^{b}?

What is 8^a\cdot8^b?

 

[thomas49th]

8^{\frac{2}{2}} x 8^{\frac{1}{2}}

= 8^{\frac{3}{2}}

cheerz

 

[Hootenanny]

8^{\frac{2}{2}} x 8^{\frac{1}{2}}

= 8^{\frac{3}{2}}

cheerz

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