Question

Simplify (6x^-2)^2(0.5x)^4 show work please

Answer 1

(6x^-2)^2(0.5x)^4 = (6^2)(x^-2(2))(1/2)^4(x^4) = 36x^-4(1/16x^4) = (36/16)x^(-4+4) = 9/4

Answer 2

Answer:

$(6x^{-2})^2(0.5x)^4=\frac{9}{4}$

Step-by-step explanation:

The given equation is:

$(6x^{-2})^2(0.5x)^4$

Simplifying the above given equation, we get

=$(36x^{-4})(\frac{1}{2}x)^4$

=$36x^{-4}(\frac{1}{16})x^4$

=$\frac{36}{16}x^{-4+4}$

=$\frac{36}{16}$

=$\frac{9}{4}$

Thus, $(6x^{-2})^2(0.5x)^4=\frac{9}{4}$

which is the requires simplified form.