simplify (6x^-2)^2(0.5x) show your work.

Answer 1

To simplify the expression (6x^(-2))^2(0.5x), we can first simplify each term within the parentheses.

Inside the first set of parentheses, we can apply the power of 2 to 6 and x^(-2):

(6x^(-2))^2 = 6^2 * (x^(-2))^2 = 36x^(-4)

Now we can write the simplified expression as:
(36x^(-4))(0.5x)

To multiply these two terms, we can combine the numerical coefficients (36 and 0.5) and add the exponents of x:

36 * 0.5 * x^(-4) * x = 18x^(-3)

Therefore, the simplified form of (6x^(-2))^2(0.5x) is 18x^(-3).