How do you simplify #\frac { 6r ^ { 3} s \cdot 9r ^ { 2} s ^ { 8} } { r s ^ { 7} }#?

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Answer 1 · 2017-07-06T08:58:27

#54r^4s^2#

Solution

#(6r^3s cdot 9r^2 s^8)/(rs^7)#

Multiply and add the indices of Like Bases..

#(6 xx 9 r^3 xx r^2 xx s^1 xx s^8)/(r xxs^7)#

#(54 xx r^(3 + 2) xx s^(1 +8))/(r xxs^7)#

#(54 xx r^5 xx s^9)/(r xxs^7)#

#54 xx r^5 xx s^9 div (r xxs^7)#

#54 xx r^(5 - 1) xx s^(9 - 7)#

#54 xx r^4 xx s^2#

#rArr# #54r^4s^2 -> Answer#