help! simplifying algebraic fractions

Asked Jun 20, 2012, 12:21 PM — 2 Answers
simplify fully:
15x3 y2
___________
5xy

 lulabell97 Posts: 2, Reputation: 1 New Member #2 Jun 20, 2012, 12:24 PM
btw the x is the algebraic one not times and the 2 and 3 in the numerator are meant to be power numbers
 ebaines Posts: 10,050, Reputation: 5539 Expert #3 Jun 21, 2012, 06:54 AM
When you divide a number raised to a power by that same number raised to a different power the result is that number raised to the difference of teh two powers:

$
\frac {x^a}{x^b} = x^{(a-b)}
$

For example:

$
\frac {z^7}{z^5} = z^{(7-5)} = z^2
$

You can apply this principle to the x and y terms in your homework problem. As for the 15 in the numerator and 5 in the denominator - I will assume that you know what 15 divided by 5 is.

Check out some similar questions!

Pre Cal : Fractions with Fractions as exponents [ 4 Answers ]

Can someone explain to me how to solve this equation: (4/9)-1/2* *Exponent ?

How does multiplying fractions differ from adding fractions

Help with algebraic fractions [ 1 Answers ]

Solve the equation: 2x-3 - 2x-1 = 1 X-3 2x+1 The 2x+1 is meant to be under the 2x-1

1) y^3 - 4y -8y 2) x^2+2 2x^2-1 --------- . ------------ -------- + -------- 16y^2 3y^3-12y 4 5

Simplifying algerbraic fractions and using logs [ 1 Answers ]

Hi I'm having some problems with this A2 level maths quesition. How do you simplify the following algerbraic fration?: (x^2 + 4x + 3)/(x^2 + x) I have used the notation x^2 as 'the square of x' Also, how do you find the value of x when Log2(x^2 + 4x + 3)-log2(x^2 + x) My notation for...