Answer:
[tex](6x^{-2})^2(0.5x)^4=\frac{9}{4}[/tex]
Step-by-step explanation:
The given equation is:
[tex](6x^{-2})^2(0.5x)^4[/tex]
Simplifying the above given equation, we get
=[tex](36x^{-4})(\frac{1}{2}x)^4[/tex]
=[tex]36x^{-4}(\frac{1}{16})x^4[/tex]
=[tex]\frac{36}{16}x^{-4+4}[/tex]
=[tex]\frac{36}{16}[/tex]
=[tex]\frac{9}{4}[/tex]
Thus, [tex](6x^{-2})^2(0.5x)^4=\frac{9}{4}[/tex]
which is the requires simplified form.
