Question

whats the answer to this problem?

Answer 1

That's a profound question.

Answer 2

\[\sqrt[5]{192s ^{12}t ^{20}}\]

Answer 3

Hard to read . . is that fifth-root of 192 s^12 t^30 ?

Answer 4

Is that a 30? It looks almost like a 3U, but I'm guessing it's 30...

Answer 5

Cliff yes

Answer 6

Ok, you can't do much with the 192 because it has no 5th-power factors. The s^12 and the t^30 can be factored into s^2*(s^5)^2 and (t^5)^6.

Answer 7

Oops, sorry, 192 does have a 5th-power factor. 192=6*2^5

Answer 8

does the * means to multiply it

Answer 9

Yes, * means multiplication.

So what you have is

\[\large \sqrt[5]{192s^{12}t^{30}} =\sqrt[5]{6\times 2^5 \times s^2 \times (s^5)^2 \times (t^5)^6}\]

Answer 10

So ill have

2 fifth root 6s^14 t^11