Solve (3i)^-5/(3i)^-7

$$\frac { ( 3 i ) ^ { - 5 } } { ( 3 i ) ^ { - 7 } }$$

Evaluate

$$-9$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -7 from -5 to get 2.

$$\left(3i\right)^{2}$$

Calculate 3i to the power of 2 and get -9.

$$-9$$

Real Part

$$-9$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -7 from -5 to get 2.

$$Re(\left(3i\right)^{2})$$

Calculate 3i to the power of 2 and get -9.

$$Re(-9)$$

The real part of -9 is -9.

$$-9$$