Evaluate
1
Real Part
1
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\left(\frac{\left(3+5i\right)\left(5+3i\right)}{\left(5-3i\right)\left(5+3i\right)}\right)^{4}
Multiply both numerator and denominator of \frac{3+5i}{5-3i} by the complex conjugate of the denominator, 5+3i.
\left(\frac{34i}{34}\right)^{4}
Do the multiplications in \frac{\left(3+5i\right)\left(5+3i\right)}{\left(5-3i\right)\left(5+3i\right)}.
i^{4}
Divide 34i by 34 to get i.
1
Calculate i to the power of 4 and get 1.
Re(\left(\frac{\left(3+5i\right)\left(5+3i\right)}{\left(5-3i\right)\left(5+3i\right)}\right)^{4})
Multiply both numerator and denominator of \frac{3+5i}{5-3i} by the complex conjugate of the denominator, 5+3i.
Re(\left(\frac{34i}{34}\right)^{4})
Do the multiplications in \frac{\left(3+5i\right)\left(5+3i\right)}{\left(5-3i\right)\left(5+3i\right)}.
Re(i^{4})
Divide 34i by 34 to get i.
Re(1)
Calculate i to the power of 4 and get 1.
1
The real part of 1 is 1.
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Simultaneous equation
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Differentiation
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Integration
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Limits
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