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Verified Answer :

(6x^-2)^2(0.5x)^4 = (6^2)(x^-2(2))(1/2)^4(x^4) = 36x^-4(1/16x^4) = (36/16)x^(-4+4) = 9/4

Answer:

\((6x^{-2})^2(0.5x)^4=\frac{9}{4}\)

Step-by-step explanation:

The given equation is:

\((6x^{-2})^2(0.5x)^4\)

Simplifying the above given equation, we get

=\((36x^{-4})(\frac{1}{2}x)^4\)

=\(36x^{-4}(\frac{1}{16})x^4\)

=\(\frac{36}{16}x^{-4+4}\)

=\(\frac{36}{16}\)

=\(\frac{9}{4}\)

Thus, \((6x^{-2})^2(0.5x)^4=\frac{9}{4}\)

which is the requires simplified form.