Finite Math Examples

Write in Standard Form (-1-5i)/(7i)
Step 1
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 2
Multiply.
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Step 2.1
Combine.
Step 2.2
Simplify the numerator.
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Step 2.2.1
Apply the distributive property.
Step 2.2.2
Rewrite as .
Step 2.2.3
Multiply .
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Step 2.2.3.1
Raise to the power of .
Step 2.2.3.2
Raise to the power of .
Step 2.2.3.3
Use the power rule to combine exponents.
Step 2.2.3.4
Add and .
Step 2.2.4
Simplify each term.
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Step 2.2.4.1
Rewrite as .
Step 2.2.4.2
Multiply by .
Step 2.2.5
Reorder and .
Step 2.3
Simplify the denominator.
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Step 2.3.1
Add parentheses.
Step 2.3.2
Raise to the power of .
Step 2.3.3
Raise to the power of .
Step 2.3.4
Use the power rule to combine exponents.
Step 2.3.5
Add and .
Step 2.3.6
Rewrite as .
Step 3
Multiply by .
Step 4
Split the fraction into two fractions.
Step 5
Simplify each term.
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Step 5.1
Move the negative in front of the fraction.
Step 5.2
Dividing two negative values results in a positive value.