simplification of the expression (8x2)3
(8x^2)^3 = 512x^6
To simplify the expression (8x^2)^3, we will raise both 8 and x^2 to the power of 3 separately.
(8x^2)^3 = (8^3)*(x^2)^3
First, let's simplify the numerical part 8^3, which means multiplying 8 by itself three times:
8^3 = 8 * 8 * 8 = 512
Now let's simplify the variable part (x^2)^3, which means multiplying x^2 by itself three times:
(x^2)^3 = x^2 * x^2 * x^2 = x^(2+2+2) = x^6
Therefore, the simplification of the expression (8x^2)^3 is:
(8x^2)^3 = 512x^6