Choose the correct simplification of the expression (8x2) 3. 24x6 512x6 512x5 24x5

(8x^2) ^3

(8) ^3 * (x^2) ^3

8^3 = 8*8*8 = 512

(x^2) ^3 = x^6

(8x^2) ^3 = (8) ^3 * (x^2) ^3 = 512x^6

512x^6 ...

The correct option is 512x^6

Step-by-step explanation:

The given expression is:

(8x^2) ^3

We can break the expression like,

(8) ^3 * (x^2) ^3

Now 8^3 means 8 will be multiplied 3 times:

8^3 = 8*8*8 = 512

And in (x^2) 3 the square will be multiplied by power of 3

(x^2) ^3 = x^6

Therefore,

(8x^2) ^3 = (8) ^3 * (x^2) ^3 = 512x^6

Thus the correct option is 512x^6 ...