Game Development Reference
In-Depth Information
involve combinations of positive and negative exponents. Here is such an
expression.
18
x
5
y
3
3
x
4
y
2
x
5
x
4
y
3
y
2
18
3
Rearrange so that like terms are visible
:
6
x
5
ð
4
Þ
y
3
2
Rearrange so that you can perform operations
:
6
x
9
y
5
6
x
9
y
5
Rearrange to remove the negative exponent
:
In each step above, you avoid most of the complexity the division might involve
by rearranging the expression so that you can carry out the divisions using
exponential arithmetic.
Here is another expression that involves exponents. In this instance, the
numerator contains a binomial that you approach by making the denominator
explicit for each of the terms in the binomial.
6
x
2
y
3
4
x
5
y
2
xy
3
6
x
2
y
3
2
xy
3
4
x
5
y
2
xy
3
¼
Distribute the division
:
6
4
2
ðx
2
1
y
3
3
2
ðx
5
1
y
1
3
¼
Þ
Þ
Rearrange with negative exponent
:
¼
3
x
2
ðx
4
y
2
Þ
:
Carry out the divisions
2
x
4
y
2
¼
3
x
Rearrange to remove the negative exponent
:
