Simplify (6x^-2)^2(5x)^4 show your work

Answer 1

To simplify (6x^-2)^2(5x)^4, first simplify each individual term within the parentheses:

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

(5x)^4 = 5^4 * x^4 = 625 * x^4

Now, multiply the simplified terms:

(36/x^4)(625 * x^4) = 36 * 625 * (x^-4 * x^4) = 22,500 * (x^0) = 22,500
(Note that any number raised to the power of 0 is equal to 1)

Therefore, the simplified expression is 22,500.