How do you simplify #\frac { ( 2^ { - 1} x ^ { - 1} y ^ { - 2} ) ^ { - 2} ( 2x ^ { - 4} y ^ { 2} ) ( 4x ^ { - 8} y ^ { 3} ) ^ { 0} } { ( 2x ^ { - 3} y ^ { - 5} ) ^ { 2} }#?

1 Answer
Apr 21, 2017

#2x^4y^16.#

Explanation:

We know that, #(a^mb^n)^l=a^(lm)b^ln, and, c^0=1 (cne0).#

#:." The Expression="{(2^2x^2y^4)(2x^-4y^2)(1)}/(2^2x^-6y^-10)#

#=(2^{2+1-2})*(x^{2-4-(-6)})*(y^{4+2-(-10)})#

#=2^1*x^4*y^16.#

#=2x^4y^16.#