How do you simplify #\frac{4x}{8x^{3}}#?

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Answer 1 · 2016-09-24T21:55:31

#(4x)/(8x^3)=1/(2x^2)#

Simplify: #(4x)/(8x^3)#

Simplify the fraction.

#(x)/(2x^3)#

Apply the quotient rule of exponents #(a^m)/(a^n)=a^(m-n)#

#(x^(1-3))/2#

Simplify.

#(x^(-2))/2#

Apply the negative exponent rule #(a^(-m))=1/(a^(m))#

#1/(2x^2)#