Need help in index question.

[winged sinew]

I don't understand help?

[inland quiver]

$8^{\frac{4}{3}}=8^{\frac{1}{3}\cdot 4}$

[grand nymph]

denzio321

[spark frigate]

What exactly are you confused on? There is no negative sign in the original question, so you are not to place the expression in the denominator.

[winged sinew]

No imagine if original q had - i am just confused wouldn't 3 square root 8 to the power of 3 equal to 8 to the power of 1

[inland quiver]

@winged sinew

[spark frigate]

What is the third root of 8?

[winged sinew]

2?

[spark frigate]

Yes. And what is 2 raised to the power of 4?

[winged sinew]

16

Ohh

[spark frigate]

Yes! You are to separate the numerator and denominator into their respective operations!

[winged sinew]

I thought it was like this

Thanks :)

[spark frigate]

You're welcome!

[lost sonnet]

note: root is same as power 1/2