How do you simplify #(\frac { x ^ { 6} y ^ { 4} } { x ^ { 2} y } ) ^ { 3}#?

1 Answer
Jun 21, 2017

# x^12y^9#

Explanation:

1. Distribute the exponent of 3 by multiplying every exponent in the parentheses by 3.

Remember, variables or numbers without exponents actually have an exponent of 1.

#(x^18y^12)/(x^6y^3)#

2. Simplify using exponent rules. When dividing powers with the same base, subtract the exponents.

# = x^12y^9#

That's your final answer!