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5 votes
Simplify (6x^-2)^2(0.5x)^4 show work please

User Krenerd
by
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2 Answers

5 votes
(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
User Tewe
by
7.0k points
6 votes

Answer:


(6x^(-2))^2(0.5x)^4=(9)/(4)

Explanation:

The given equation is:


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

Simplifying the above given equation, we get

=
(36x^(-4))((1)/(2)x)^4

=
36x^(-4)((1)/(16))x^4

=
(36)/(16)x^(-4+4)

=
(36)/(16)

=
(9)/(4)

Thus,
(6x^(-2))^2(0.5x)^4=(9)/(4)

which is the requires simplified form.

User Fredrik Hedblad
by
8.5k points

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