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# How to Simplify this Expression watch

1. (2x^2 / 4y^3)^-2
2. (Original post by Tom.Dunwoody)
(2x^2 / 4y^3)^-2
Use
3. Your expression can be written as (4y^3/2x^2)^2, which expanded then = 16y^6/4x^4. Simplifying this = 4y^6/x^4.
4. Sorry, made a small error before, fixed it.
5. (Original post by 2014FHD)
Your expression can be written as (4y^3/2x^2)^2, which expanded then = 16y^6/4x^4. Simplifying this = 4y^6/x^4.
how would you know to flip the expression round ? rather than (2x^2 / 4y^3) it is now (4y^3 / 2x^2)
6. (Original post by Tom.Dunwoody)
how would you know to flip the expression round ? rather than (2x^2 / 4y^3) it is now (4y^3 / 2x^2)
The initial equation says -2 outside the bracket. When the power is negative (e.g. x^-2), you take the reciprocal (1/x) for that number (therefore for a fraction, just flip the top and bottom number).

After this, just keep the positive power (in this case 2) the same (so it is 1/x^2), and work from there
7. Okay so we have:

(2X^2/4Y^3)^-2

can be simplified to:

(2/4 * X^2/Y^3)^-2

further simplification:

(X^2/2Y^3)^-2

Therefore flipping the fraction due to the negative power:

(2Y^3/X^2)^2

Thus leaving you with:

(4Y^6/X^4)

Hope this helped.

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