To simplify the expression (6x^-2)^2(0.5x)^4, we can first evaluate each term separately and then multiply them together.
First, we simplify (6x^-2)^2:
(6x^-2)^2 = 6^2 * (x^-2)^2
= 36 * x^-4
Next, we simplify (0.5x)^4:
(0.5x)^4 = 0.5^4 * x^4
= 0.0625 * x^4
Finally, we multiply the two simplified terms together:
(36 * x^-4) * (0.0625 * x^4)
= 36 * 0.0625 * (x^-4 * x^4)
= 2.25 * (x^0)
= 2.25
Therefore, the simplified expression is 2.25.
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Simplify (6x^−2)2(0.5x)^4
. Show your work.
(2 points)
1 answer