Question

What is the completely simplified answer of ( (√19600x^8 y^-4/35)^2(√324x^13 y^12 z^-14/√24x^-3 y^-4 z^16)/(45x^3 Y^16 √z/√81x^4 y.z^3)^2)^-2 .((3xy^2)^2)/ ((x^2 .y^3 .Z^4)^-2)^-3: https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxuc3RyaWNrbGFuZGtlYWxpbmd8Z3g6MjIwZWI3Y2RjMWM4NDFhYw

Answer 1

Tedious but simple. Just use your exponent rules.

Answer 2

a little more help please

Answer 3

Which part do you need help with?

Answer 4

like the part with the square rooting

Answer 5

A square root is simply an exponent of 1/2. So:
\[\sqrt{x}^3 = (x^{1/2})^3 = x^{3/2}\]

Answer 6

oh ok thanks for your help!

Answer 7

Any more questions with exponents?

Answer 8

him maybe do i just apply the G.E.M.S rule for this as well?

Answer 9

Sorry I am not familiar with the GEMS rule. Care to explain what it is?

Answer 10

ok Gems is like a rule to do for any problem it stands for Grouping Exponets Multiplication/division Subtraction/addition so would i apply that rule in this situation?

Answer 11

Ah so that is a new abbreviation for the Order of Operations. But YES definitely use that :)

Answer 12

oh ok thank you for the help!

Answer 13

You will soon enough learn how ever, that since exponents are just like multiplication, so you will be able to do them at the same time.

Answer 14

so when i have an exponent for example two is that the same as X^2= x.x

Answer 15

Yup.

Answer 16

ok that is all i need for now thanks again!

Answer 17

No problem!