How do you simplify #(6a^-1c^-3)/(d^0)#?

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Answer 1 · 2016-04-18T17:06:37

#= color(blue)( 6)/( a c^3)#

#(6a^-1c^-3) / d^0#

#(6a^-1c^-3) / d^0 = (6a^-1c^-3) / color(blue)(1#

#= 6a^-1c^-3#

#= 6a^-1c^-3 = 6/ color(blue)((a ^1c^3)#

#= color(blue)( 6)/( a c^3)#

Answer 2 · 2016-04-18T17:08:34

#6/(1a^1c^3)#

or

#6/(ac^3)#

To simplify #(6a^-1c^-3)/d^0#

We need to eliminate negative exponents and simplify exponents of zero.

In order to simplify negative exponents in the numerator they can be moved to the denominator to make them positive.

#a^-1 = 1/a^1#

# c^-3 = 1/c^3#

Any value to the zero power always equals one.

#d^0 = 1#

Therefore the terms convert to

#6/(1a^1c^3)#

or

#6/(ac^3)#