How do you divide and simplify $\frac{9 y^{10} x^{3}}{11 y^{2}} \div \frac{10 y^{6} x^{4}}{7 x^{3}}$ $\frac { 9y ^ { 10} x ^ { 3} } { 11y ^ { 2} } \div \frac { 10y ^ { 6} x ^ { 4} } { 7x ^ { 3} }$ ?

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Answer 1 · 2018-08-03T10:07:34

$\frac{63 x^{2} y^{2}}{110}$ $(63x^2y^2)/110$

$\frac{9 y^{10} x^{3}}{11 y^{2}} \div \frac{10 y^{6} x^{4}}{7 x^{3}}$ $(9y^10x^3)/(11y^2)divide(10y^6x^4)/(7x^3)$

$= \frac{9 y^{10} x^{3}}{11 y^{2}} \times \frac{7 x^{3}}{10 y^{6} x^{4}}$ $=(9y^10x^3)/(11y^2)times(7x^3)/(10y^6x^4)$

$= \frac{63 x^{6} y^{10}}{110 x^{4} y^{8}}$ $=(63x^6y^10)/(110x^4y^8)$

$=(63cancel(x^6)x^2cancel(y^10)y^2)/(110cancel(x^4y^8)$

$=(63x^2y^2)/110$

How do you divide and simplify \frac { 9y ^ { 10} x ^ { 3} } { 11y ^ { 2} } \div \frac { 10y ^ { 6} x ^ { 4} } { 7x ^ { 3} }9y10x311y2÷10y6x47x3\frac { 9y ^ { 10} x ^ { 3} } { 11y ^ { 2} } \div \frac { 10y ^ { 6} x ^ { 4} } { 7x ^ { 3} }?