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like x squared times x squared?

2006-08-23 09:29:35 · 15 answers · asked by shakira 4 in Education & Reference Homework Help

thanks guys. dont know why i didnt know that. anyway if you dont want to help me dont answer the question. its not doing the homework for me its just helping me with a small part so i can complete it.

2006-08-23 09:36:59 · update #1

15 answers

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

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