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

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

ddd

step-by-step explanation: