6x times x^2??? having troubles?

Question

simple problem i am having troubles

6x(x^2)

Answer 1

6x = 6*x^1

6x(x^2) = 6*x^1*x^2 = 6*x^(1 + 2) = 6x^3

Answer 2

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



*Note: when you multiplying bases, you add the exponents. You can't multiply their power unless if it's power to power.



Try to understand the concept. This is a basic Algebra.

Answer 3

Alright:



Multiplication is short hand for addition. So when you have 6x, you are saying that you have



x + x + x + x + x + x



Exponents are shorthand for multiplication. So when you say x^2, you are saying that you have



x * x



So you have:





(x + x + x + x + x + x)(x * x)



You can change that (using associativity, hopefully you know what that is) to be:



(x * x * x) + (x * x * x) + (x * x * x) + (x * x * x) + (x * x * x) + (x * x * x)



Which, using our shorthand for multiplication (exponents) becomes



x^3 + x^3 + x^3 + x^3 + x^3 + x^3



Which, using our shorthand for addition (multiplication) becomes



6x^3



Hope that helps!

Answer 4

If you expand it, it becomes:

6x times x times x, so it is 6x^3

Answer 5

6 ( x ) ( x ² ) = 6 x ³