Can someone show me how to simplify this radical expression? Much appreciated!
^6√64a^3b^3

Question

Can someone show me how to simplify this radical expression? Much appreciated!
 ^6√64a^3b^3

anonymous · Answer

^6√64a^3b^3 doesn't make sense. in the beginning ^6 has no value in front of it?

anonymous · Answer

its an exponent. straight from my book

anonymous · Answer

there is nothing in front of ^6?

anonymous · Answer

a radical

anonymous · Answer

it cant have no value in front of it... it just doesnt make sense. @jim_thompson5910

jim_thompson5910 · Answer

I think YourRoyalFatness means that the expression is 

$$\large \sqrt[6]{64a^3b^3}$$

anonymous · Answer

attachment

anonymous · Answer

now it makes sense.

anonymous · Answer

yes jim you are right!

anonymous · Answer

i am so stumped on this problem

jim_thompson5910 · Answer

that's correct str99, you can go further to say this



$$\large \sqrt[6]{64a^3b^3}$$

$$\large \sqrt[6]{64}*\sqrt[6]{a^3b^3}$$

$$\large 2\sqrt[6]{a^3b^3}$$

$$\large 2(a^3b^3)^{1/6}$$

$$\large 2(a^{3/6}*b^{3/6})$$

$$\large 2(a^{1/2}*b^{1/2})$$

$$\large 2(ab)^{1/2}$$

$$\large 2\sqrt{ab}$$

anonymous · Answer

thanks! it matches the answer in the back of the book

zepdrix · Answer

@str99 That notation was maybe a little confusing.
The carot wasn't being used to show an exponent. It was showing the degree of the root. :)

anonymous · Answer

You are right. Thanks for correcting me