simplify (6x^-2)^2(0.5x)^4 show work please
(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:
\((6x^{-2})^2(0.5x)^4=\frac{9}{4}\)
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.