x^4
for example, if (x^2)(x^3), it will be (x^5)
just add the exponents together
2006-08-23 09:31:30
·
answer #1
·
answered by Travis 4
·
4⤊
0⤋
X^4
2006-08-23 16:34:49
·
answer #2
·
answered by mgs981 1
·
1⤊
0⤋
When you multiply a variable raised to an exponent by the same variable raised to an exponent, you add the exponents together.
In the example you gave, (x^2)(x^2) = x^(2+2) = x^4
In the generic form it would be (x^a)(x^b)=x^(a+b)
This only works if the variable is the same in both terms. If you have 2 different variables raised to the same exponent, you have to do the following:
(x^a)(y^a) = (xy)^a
If you are dividing same variable raised to different exponents, you subtract the exponents:
(x^a)/(x^b) = x^(a-b)
If you need to raise an exponent by another exponent, you multiply the exponents together:
(x^a)^b = x^(ab)
If you forget the rules, you can work it out by substituting simple numbers into the expression (2, 3, or 4). Avoid 1 or zero for substitution. For example you can prove (x^a)(y^a) = (xy)^a by plugging in numbers...
(2^2)(3^2) = (4)(9)=36
We know 36 = 6^2 which = [(2)(3)]^2
Good luck & have fun! :-)
2006-08-23 16:44:08
·
answer #3
·
answered by lechemomma 4
·
2⤊
0⤋
x^4, as is x^2+x^2
2006-08-23 16:35:11
·
answer #4
·
answered by Anonymous
·
0⤊
0⤋
Lechemomma got it perfect, I was just about to type out exactly what he/she wrote, but luckily I saw it. I would only add that this only works when the bases are the same. For example x is a base in this case. The following statement is NOT correct:
x^3 * y^2 = (xy)^6.
Be aware of the difference, sorry that I couldn't add anymore!
2006-08-24 11:43:36
·
answer #5
·
answered by Chris 3
·
0⤊
0⤋
X^2 means X times X (2 Xs multiplied together)
so if you multiply X^2 by X^2, you get (X times X) times (X times X) which is 4 Xs multiplied together or X^4
2006-08-23 16:56:42
·
answer #6
·
answered by DragonLadyBlue 1
·
0⤊
0⤋
One of the rules of indices:
X^n * X^m = X^(n+m)
so for this X^2 * X^2 = X^4
2006-08-24 06:51:47
·
answer #7
·
answered by Farmboy 2
·
0⤊
0⤋
x^4
2006-08-23 16:31:51
·
answer #8
·
answered by Anonymous
·
0⤊
0⤋
X^4...easy
2006-08-23 16:32:25
·
answer #9
·
answered by youdontneedtoknowme 5
·
1⤊
0⤋
if x=2
the equation is 4 x 4
which equals 16
16 equals 2x2x2x2 which equals 2^4
so as said by others the answer is x^4
2006-08-23 16:37:10
·
answer #10
·
answered by Gouda 1
·
2⤊
0⤋
X^4
You add 2+2
2006-08-23 16:35:04
·
answer #11
·
answered by Lavina 4
·
0⤊
1⤋