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can some one show me the steps for ^-3 multiplied by ^-128
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Is this the problem: x^-3 multiplied by x^-128 ? I do not see a variable in the problem you wrote.
\[\sqrt{-3} \times \sqrt{-128}\]
Okay. ^ means square root.
yes.
√(-3) * √(-128) = √(-1) * √3 * √(-1) * √128 =
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i √3 * i * √128 where i = √(-1).
= i^2 * √3 * √128 = (-1) * √3 * √128 Questions so far?
nope
= (-1) * √3 * √(4*4*2*2*2) = (-1) √3 * (4 * 2)√(2) = - √3 * 8√2
= -8√6
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Questions?
so the answer doesn't have and i in it meaning. I got \[8i \sqrt{6}\]
With complex numbers that are not real, you have to get the negative out of the square root before you multiply the radicands.
i^2 = -1
i c. thanks so much.
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Glad to help.
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