Rewrite in Standard Form (4-3i)/(-6i)

Math
4-3i-6i
Multiply the numerator and denominator of 4-3i-6i by the conjugate of -6i to make the denominator real.
4-3i-6i⋅ii
Multiply.
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Combine.
(4-3i)i-6ii
Simplify the numerator.
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Apply the distributive property.
4i-3ii-6ii
Multiply -3ii.
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Raise i to the power of 1.
4i-3(i1i)-6ii
Raise i to the power of 1.
4i-3(i1i1)-6ii
Use the power rule aman=am+n to combine exponents.
4i-3i1+1-6ii
Add 1 and 1.
4i-3i2-6ii
4i-3i2-6ii
Simplify each term.
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Rewrite i2 as -1.
4i-3⋅-1-6ii
Multiply -3 by -1.
4i+3-6ii
4i+3-6ii
Reorder 4i and 3.
3+4i-6ii
3+4i-6ii
Simplify the denominator.
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Add parentheses.
3+4i-6(ii)
Raise i to the power of 1.
3+4i-6(i1i)
Raise i to the power of 1.
3+4i-6(i1i1)
Use the power rule aman=am+n to combine exponents.
3+4i-6i1+1
Add 1 and 1.
3+4i-6i2
Rewrite i2 as -1.
3+4i-6⋅-1
3+4i-6⋅-1
3+4i-6⋅-1
Multiply -6 by -1.
3+4i6
Split the fraction 3+4i6 into two fractions.
36+4i6
Simplify each term.
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Cancel the common factor of 3 and 6.
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Factor 3 out of 3.
3(1)6+4i6
Cancel the common factors.
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Factor 3 out of 6.
3⋅13⋅2+4i6
Cancel the common factor.
3⋅13⋅2+4i6
Rewrite the expression.
12+4i6
12+4i6
12+4i6
Cancel the common factor of 4 and 6.
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Factor 2 out of 4i.
12+2(2i)6
Cancel the common factors.
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Factor 2 out of 6.
12+2(2i)2(3)
Cancel the common factor.
12+2(2i)2⋅3
Rewrite the expression.
12+2i3
12+2i3
12+2i3
12+2i3
Rewrite in Standard Form (4-3i)/(-6i)

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