Question

Reduce this algebraic fraction 27c^4d^5/9c^7d^4 ...?

Answer 1

The answer is
`(3d)/( c^(3))`

The fraction is:
`(27 c^(4) d^(5))/(9 c^(7) d^(4) )`
Let's rewrite it:
`(27 c^(4) d^(5))/(9 c^(7) d^(4) )= (27)/(9)*(c^(4))/(c^(7))*(d^(5))/(d^(4) )`

Now, let's use the rule
`( x^(a) )/( x^(b)) = x^(a-b) = (1)/( x^(b-a) )`:

`(27)/(9)*(c^(4))/(c^(7))*(d^(5))/(d^(4) )=3* (1)/(c^(7-4)) * d^(5-4) =3* (1)/( c^(3) ) *d^(1)= (3d)/( c^(3) )`