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Popular >

simplify ((1-i)/(3+3i))^4

Solution

simplify

(\frac{1 - i}{3 + 3 i})^{4}

Solution

\frac{1}{81}

+1

Decimal Notation

0.01234 \dots

Solution steps

(\frac{1 - i}{3 + 3 i})^{4}

Simplify

\frac{1 - i}{3 + 3 i} : - \frac{i}{3}

= (- \frac{i}{3})^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- \frac{i}{3})^{4} = (\frac{i}{3})^{4}

= (\frac{i}{3})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{i ^{4}}{3 ^{4}}

3^{4} = 81

= \frac{i ^{4}}{81}

Simplify

i^{4} : 1

= \frac{1}{81}

Popular Examples

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Frequently Asked Questions (FAQ)

What is ((1-i)/(3+3i))^4 ?
The solution to ((1-i)/(3+3i))^4 is 1/81