How do you simplify #(\frac { 5y w ^ { 2} } { 3y ^ { 5} w ^ { 4} } ) ^ { 2}#?

1 Answer
Bhavin B.
May 2, 2018

#25/9(y^-8w^-4)#

OR

#25/(9y^8w^4)#

Explanation:

By using exponential property:
#(a^m)(a^n) = a^(m+n)#
#(ab)^m = a^mb^m#
#(a^m)^n = a^(mn)#
#((5yw^2)/(3y^5w^4))^2#
#((5^2y^2w^(2X2))/((3^2y^(5X2)w^(4X2))))#
#(25y^2w^4)/(9y^10w^8)#
#(25y^(2-10)w^(4-8))/9#
#(25y^-8w^-4)/9#
#25/9(y^-8w^-4)#

OR

#25/(9y^8w^4)#

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