Simplify Rational Expressions Quiz

Multiply the following rational expressions and simplify: ( 6x^2y^3 / 2x^2y^2 ) * ( 10x^3y^4 / 18y^2 ).

Multiply the following rational expressions and simplify: ( 4a^2b^2 / 15ab^3 ) * ( 5a^3b^6 / 12a^4b^7 ).

Simplify the expression by factoring and simplifying: ( 4x^2 - 4x ) / ( 2x^2 + 4x - 6 ) ÷ ( x^2 + x - 6 ) / ( 4x^2 + 8x ).

Simplify the expression by factoring and simplifying: ( 10v - 5v^2 ) / ( v^2 - 11v + 18 ) ÷ ( v^2 - 8v - 9 ) / ( 15v ).

Divide the following rational expressions and simplify: ( 5pq^4 / 16p^3 ) ÷ ( 35p^2q^2 / 8q^5 ).

Divide the following rational expressions and simplify: ( 10 / 4x - 8 ) ÷ ( 2x^2 + 6x / x^2 + x - 6 ).

Divide the following rational expressions and simplify: ( 2a^3 - 1a^2 - 12a^2 ) / ( a^2 - 4a - 12 ) ÷ ( 24a^2 - 8a^3 ) / ( a^2 - 8a + 15 ).

Simplify the expression: ( k + 3 / k ) * ( 4k + 1 / 16k^2 - 1 ) ÷ ( 1 / k + 3 ).

Simplify the expression: (16m^2)/(24m^7).

Simplify the expression: (n^2 + 7n)/(4n^2 + 28n).