Please show steps ASAP:
Simplify (6x^-2)^2(0.5x)^4.

Answer:
2.25
Step-by-step explanation:
[tex](6x^{-2})^2(0.5x)^4\\ \\ =(6)^2\cdot(x^{-2})^2\cdot(0.5)^4\cdot(x)^4\\ \\=36\cdot x^{-4}\cdot 0.0625 \cdot x^4\\ \\= (36\cdot 0.0625)(x^4\cdot x^{-4})\\ \\=(2.25)(1)\\ \\=2.25[/tex]
Answer:
[tex] \dfrac{9}{2} [/tex]
Step-by-step explanation:
[tex] (6x^{-2})^2(0.5x)^4 = [/tex]
[tex] = (6^2x^{-2 \times 2}) (\dfrac{1}{2})^4x^4} [/tex]
[tex] = 36\dfrac{1}{x^{4}}(\dfrac{1}{2^4})}x^4 [/tex]
[tex] = \dfrac{36x^4}{16x^4} [/tex]
[tex] = \dfrac{9}{2} [/tex]