Question

Please show steps ASAP:

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

Answer 1

`(9)/(2)`

Explanation:

`(6x^(-2))^2(0.5x)^4 =`

`= (6^2x^(-2 * 2)) ((1)/(2))^4x^4}`

`= 36(1)/(x^(4))((1)/(2^4))}x^4`

`= (36x^4)/(16x^4)`

`= (9)/(2)`

Answer 2

2.25

Explanation:

`(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`