How do you simplify #(-6c^3)/(2c^4 8c^2)#?

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Answer 1 · 2015-12-22T17:28:35

# =color(blue)( (-3)/(8c^3)#

#(-6c^3)/(2c^(4)8c^2)#

# =color(blue)(( (-6)/(2xx8)) )xx (c^3)/(c^(4)c^2)#

# =color(blue)(( (-6)/(16)) )xx (c^3)/(c^(4)c^2)#

As per property of exponents

#color(blue)(a^m * a^n=a^(m+n)#

#color(blue)(a^m / a^n=a^(m-n)#

Applying the above to the exponents of #c#:

# =color(blue)(( (-6)/(16)) )xx (c^3)/(c^color(blue)((4+2))#

# =( (-6)/(16) )xx (c^3)/(c^color(blue)(6)#

# =( cancel(-6)/(cancel16) )xx (c^(3-6))#

# =( (-3)/(8)) xx (c^(-3))#

As per property
#color(blue)(a^-1=1/a#

# =color(blue)( (-3)/(8c^3)#