What is the radical exponent of:

Question

anonymous · Answer

$$^3\sqrt{x^3}$$

anonymous · Answer

Really need the answer ASAP.  Thanks so much!  @smileyxl3 @sara17 @AravindG @funinabox

jdoe0001 · Answer

what do they mean by " radical exponent of"  ?

anonymous · Answer

you can write it like this:
(x^3)^(1/3)
in generality:
$$\sqrt[n]{x}$$ is writen as: (x)^(1/n) 
then you should multiply powers.. so:
(x)^(3)(1/3)=x
because (3)(1/3)=1
so =>  x^1=x

anonymous · Answer

I'm sorry I meant simplify it

anonymous · Answer

Thanks so much @sara17   Can you do another one please?  Simplify: $$\sqrt[11]{x^5 * x^6}$$

jdoe0001 · Answer

$\huge \sqrt[3]{x^3} $
if the exponent inside the radical, MATCHES the root of the radical, then it comes out, without an exponent, just by itself :)

jdoe0001 · Answer

what's $\bf \large x^5 \times x^6 \quad ?$

jdoe0001 · Answer

http://www.math-play.com/image-exponents-rules.jpg

anonymous · Answer

just multiply powers so you will have:
(x^5)(x^6)=(x)^(5+6)=x^11
then you will have:
$$\sqrt[11]{x^11}$$
then write it in this form:
(x^11)^(1/11)=x^((11)(1/11))=x^1=x

anonymous · Answer

sorry i wrote multiply but i meant sum of powers:
5+6=11