Rewrite in Standard Form (3+20i)/(-5i)

Math
3+20i-5i
Multiply the numerator and denominator of 3+20i-5i by the conjugate of -5i to make the denominator real.
3+20i-5i⋅ii
Multiply.
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Combine.
(3+20i)i-5ii
Simplify the numerator.
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Apply the distributive property.
3i+20ii-5ii
Multiply 20ii.
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Raise i to the power of 1.
3i+20(i1i)-5ii
Raise i to the power of 1.
3i+20(i1i1)-5ii
Use the power rule aman=am+n to combine exponents.
3i+20i1+1-5ii
Add 1 and 1.
3i+20i2-5ii
3i+20i2-5ii
Simplify each term.
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Rewrite i2 as -1.
3i+20⋅-1-5ii
Multiply 20 by -1.
3i-20-5ii
3i-20-5ii
Reorder 3i and -20.
-20+3i-5ii
-20+3i-5ii
Simplify the denominator.
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Add parentheses.
-20+3i-5(ii)
Raise i to the power of 1.
-20+3i-5(i1i)
Raise i to the power of 1.
-20+3i-5(i1i1)
Use the power rule aman=am+n to combine exponents.
-20+3i-5i1+1
Add 1 and 1.
-20+3i-5i2
Rewrite i2 as -1.
-20+3i-5⋅-1
-20+3i-5⋅-1
-20+3i-5⋅-1
Multiply -5 by -1.
-20+3i5
Split the fraction -20+3i5 into two fractions.
-205+3i5
Divide -20 by 5.
-4+3i5
Rewrite in Standard Form (3+20i)/(-5i)

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