how do is multiply X^n by X^n?

Question

would it be x^n+2 or x^2n? or none of the above?

Answer 1

if multiplying the same base, you add the exponents
answer: x^2n

Answer 2

It's X^(n+n) or X^2n, simplified. When you are multiplying exponents and the base is the same--in this case X--you just add the exponents together. For instance, 2^2 x 2^3 = 2^5.

Answer 3

x^n x^n = x^(n+n) = x^(2n). Think about what exponentiation means for a moment: x^n means the product of n copies of x. Now, if I hand you n copies of x and tell you to multiply them with another n copies of x, all told you will be taking the product of 2*n copies of x, which is x^(2n).

Answer 4

When multiplying, you add exponents. therefore x^n * x^n=x^2n

Answer 5

X^n is shorthand for multiplying X by itself n times
X^3=X*X*X
X^7=X*X*X*X*X*X*X

and X^n*X^n is like X^3*X^3=X^6 becasue (X*X*X)*(X*X*X)=X*X*X*X*X*X = X^6

so X^n*X^n = X^2n

Answer 6

X^n * X^n = X^(n+n) = X^(2n)

Answer 7

Add the exponents and you get your answer
X^n+X^n
=X^(n+n)
=X^2n