aachord
aachord aachord
  • 24-01-2022
  • Mathematics
contestada

Please show steps ASAP:

Simplify (6x^-2)^2(0.5x)^4.

Please show steps ASAP Simplify 6x2205x4 class=

Respuesta :

osikbro
osikbro osikbro
  • 24-01-2022

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 Link
mathstudent55
mathstudent55 mathstudent55
  • 24-01-2022

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]

Answer Link

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