How do you multiply and simplify #\frac { 4a ^ { 2} b } { b ^ { 2} c } \cdot \frac { 6b ^ { 4} c ^ { 2} } { 8a b ^ { 2} }#?

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Answer 1 · 2017-07-20T07:34:12

#3abc#

There are several ways to multiply and simplify this expression... Hopefully you'll understand how I do it...

Step 1) Simplify each fraction as a whole fraction

#(4a^2b)/(b^2c)*(6b^4c^2)/(8ab^2)#

#=(4a^2)/(bc)*(3b^2c^2)/(4a)#

Step 2) Cross multiply

#=a/(bc)*3b^2c^2#

#=a*3bc#

Step 3) Multiply

#=3abc#