How do you simplify #(2y ^ { 4} ) ^ { - 3}#?

1 Answer
Jim G.
Apr 26, 2018

#1/(8y^(12))#

Explanation:

#"using the "color(blue)"laws of exponents"#

#•color(white)(x)(a^mb^n)^p=a^(mp)b^(np)#

#•color(white)(x)a^-mhArr1/a^m#

#rArr(2y^4)^-3#

#=2^(-3)y^(-12)=1/2^3xx1/y^(12)=1/8xx1/y^(12)=1/(8y^(12)#

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