〖8x〗^6/〖2x〗^4

Answer 1

To simplify, we can divide the numerators and the denominators separately.

Starting with the numerator:
(8x)^6 = 8^6 * x^6
= 262,144x^6

And now simplifying the denominator:
(2x)^4 = 2^4 * x^4
= 16x^4

Putting it all together, the expression becomes:
(8x)^6 / (2x)^4 = (262,144x^6) / (16x^4)

Next, we can simplify by dividing the coefficients and subtracting the exponents of x:
262,144 / 16 = 16,384

x^6 / x^4 = x^(6-4) = x^2

So the final simplified expression is:
16,384x^2