How do you multiply #(8w^2)/9*3/(2w^4)#?

1 Answer
smendyka
Aug 21, 2017

See a solution process below:

Explanation:

First, we can rewrite the expression as:

#((8 * 3)/(9 * 2))(w^2/w^4) => ((color(red)(cancel(color(black)(8)))4 * color(blue)(cancel(color(black)(3))))/(color(blue)(cancel(color(black)(9)))3 * color(red)(cancel(color(black)(2)))))(w^2/w^4) =>#

#4/3(w^2/w^4)#

We can now use this rule for exponents to simplify the #w# terms:

#x^color(red)(a)/x^color(blue)(b) = 1/x^(color(blue)(b)-color(red)(a))#

#4/4(w^color(red)(2)/w^color(blue)(4)) => 4/3 * 1/w^(color(blue)(4)-color(red)(2)) => 4/3 * 1/w^2 =>#

#4/(3w^2)#

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