How do you simplify #\frac { q ^ { 0} r ^ { 5} s ^ { 0} } { q ^ { 0} r ^ { - 3} s ^ { 0} \cdot q r s ^ { 0} }#?

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Answer 1 · 2017-02-28T04:50:45

Simplify through exponent rules.

Start by inputting numbers you know. Anything to the power of 0 is 1.

#(1*r^5*1)/(1*r^(−3)*1⋅q*r*1)#

You can now remove the 1s because anything multiplied by 1 is itself.

#(r^5)/(r^(−3)⋅q*r)#

Combine like terms within the denominator.

#(r^5)/(r^(-2)⋅q)#

Multiply the fraction by 1 in the form of #r^(2)/r^(2)#.

#(r^5*r^2)/(r^(-2)⋅q*r^2)#

Simplify.

#(r^7)/(q)#