How do you simplify #\frac { 3x ^ { 3} y ^ { - 1} z ^ { 5} } { x ^ { - 4} y ^ { 0} z ^ { 6} }#?

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Answer 1 · 2016-10-26T03:40:54

The answer is #(3x^7)/(xy)#.

Simplify: #(3x^3y^(-1)z^5)/(x^(-4)y^0z^6)#.

Apply zero rule #a^0=1#.

#y^0=1#

Simplify.

#(3x^3y^(-1)z^5)/(x^(-4)xx1xxz^6)#

Simplify the denominator.

#(3x^3y^(-1)z^5)/(x^(-4)z^6)#

Apply the quotient rule #a^m/a^n=a^(m-n)#

#3x^(3-(-4))y^(-1)z^(5-6)#

Simplify.

#3x^7y^(-1)z^(-1)#

Apply the negative exponent rule #a^(-m)=1/a^m#

#(3x^7)/(yz)#