How do you simplify #(5c^(-4))(-4m^(2)c^(8))#?

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Answer 1 · 2015-10-08T10:30:00

#-20 m^2c^4#

Key to solving is that: #c^(-4) = 1/(c^(4))#

Rewrite #(5c^(-4))(-4m^2c^8)# as:

#5/(c^4) times (-4m^2c^8)#

Giving: #( 5 times (-4)m^2) times (c^8)/(c^4)# .....( 1 )

But # (c^8)/(c^4) = c^4# ......( 2 )

Substituting ( 2 ) in ( 1 ) gives

#-20 m^2c^4#