Question

Choose the correct simplification of the expression (a2)3

Answer 1

if ya meant (a²)³


rememeber

`(x^m)^n=x^(mn)`
so

`(a^2)^3=a^((2)(3))=a^6`

Answer 2

`(a^(2))^(3)=(a)^(6)`

Explanation:

I suppose you mean
`(a^(2))^(3)`

The mathematical simplification is
`(x^(n))^(m)=x^(n*m)`

So
`(a^(2))^(3)=a^(2*3)=a^(6)`

But it is better if you see it from the definition of exponential:

Let's go inside out:

`(a^(2))^(3)` Following the mathematical order, we start with what is inside the parenthesis:

`(a*a)^(3)`

Now we move to what is outside the parenthesis:

`(a*a)^(3)=(a*a)*(a*a)*(a*a)`

And if we then work it out adding the exponent of each variable with the same base:

`(a*a)^(3)=(a*a)*(a*a)*(a*a)=(a)^(6)`