Question

Simplify. Assume that all variables represent positive real numbers.
^5sqrt(-243x^6y)

Answer 1

so 5 is the indice of radical ?

Answer 2

Yes sir its like 5^5 just no number infront of it

Answer 3

so than you need check wath is the number what multiply 5 time will add to you 243 ?

Answer 4

like 2*2*2*2*2=32

Answer 5

Yes but this time the five is inside the sqrt

Answer 6

yes but this sign indice of radical
- so the same like squareroot has indice 2
- or cuberoot has indice 3
- so in this case there is indice 5

Answer 7

ok ?

Answer 8

ok

Answer 9

check 3*3*3*3*3 = ?

Answer 10

243

Answer 11

yes right but there is again one minus
- so than what sign this ?

Answer 12

-243

Answer 13

So its sqrt(-3x^6y)?

Answer 14

not right 5root(-243x^6y =3x(5root(-xy))

Answer 15

sqrt sign squareroot so radical indice 2

Answer 16

do not confuse it never !!!

Answer 17

so its ?