How do you simplify $\frac { x ^ { 3} y ^ { 10} } { x ^ { 3} y ^ { 4} }$ ?

Question

561 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-25T15:22:53

See a solution process below:

First, rewrite the expression as:

$(x^3/x^3)(y^10/y^4) => 1(y^10/y^4) => y^10/y^4$

Now, use this rule for exponents to complete the simplification:

$x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))$

$y^color(red)(10)/y^color(blue)(4) => y^(color(red)(10)-color(blue)(4)) => y^6$

How do you simplify \frac { x ^ { 3} y ^ { 10} } { x ^ { 3} y ^ { 4} } \frac { x ^ { 3} y ^ { 10} } { x ^ { 3} y ^ { 4} } ?