what is (x^3)^2?

Question

is it X^5 or X^6
i dont know whether to multipy it or add it...

Answer 1

u have to multiply it here.. (x^3)^2 = x^6
but (x^3)*(x^2) = x^5

Answer 2

Instead of trying to memorize a rule, just work it out:

(x^3)^2 = (x^3)(x^3) = (x*x*x)(x*x*x) = x*x*x*x*x*x = x^6

Unduly pedantic, but it is obvious that you multiply the exponents. As seen in the second step, you add when multiplying the same variable raised to whatever powers with a simple degenerate case of:

(x^1)(x^1) = x^2

Of course, this is hardly a proof, but easy to confirm without resorting to an authoritative reference.

Answer 3

multiply the powers.

x^(3*2)

=x^6

Answer 4

(X^3)^2 = X^3 x X^3 = X^6
So you multiply it

You only add it if you multiply it with another X^anything

Answer 5

x^6

Answer 6

multiply them: x^6

the addition is for this case:
x^2*x^3 = x^(2+3) = x^5

Answer 7

x^6

When it is (x^3)^2 you multiply --> x^6

When it is x^3 * x^2 then you add --> x^5

Answer 8

x³ X x³ = x^(6)
Rule is to add indices when multiplying.

Answer 9

(x^3)^2=x^3).x^3)=X^(3+3)=X^6

Answer 10

what year are you in? I'm in my second last year of senior high school and I learnt it four years ago. anyway i checked and it should be x^6