# Laws of Exponents in Problem Solving

#### armando.valdez

##### New member
prove that (27x^-2)(y6)/(3x^5)(y2)(z^0)=9y^4/x^7

#### royhaas

##### Full Member
First, perform the arithmetic on the numbers. Then add the exponents for y algebraically. Now do the same for the exponents for x.

#### stapel

##### Super Moderator
Staff member
armando.valdez said:
prove that (27x^-2)(y6)/(3x^5)(y2)(z^0)=9y^4/x^7
One usually just simplifies to find the answer, by merely applying exponent rules, but this exercise specifies that you are supposed to "prove" the equality. Are you supposed to do a formal proof, justifying each step with the names of various field properties...? :shock:

Please reply with clarification, including a clear listing of what you have tried so far. Thank you!

Eliz.