Solve sqrt[3]{8}-7^2*sqrt{-1}+(5-7)^3=

$$\sqrt[ 3 ] { 8 } - 7 ^ { 2 } \cdot \sqrt { - 1 } + ( 5 - 7 ) ^ { 3 } =$$

Evaluate (complex solution)

$$-6-49i$$

Solution Steps

Calculate \sqrt[3]{8} and get 2.

$$2-7^{2}\sqrt{-1}+\left(5-7\right)^{3}$$

Calculate 7 to the power of 2 and get 49.

$$2-49\sqrt{-1}+\left(5-7\right)^{3}$$

Calculate the square root of -1 and get i.

$$2-49i+\left(5-7\right)^{3}$$

Subtract 7 from 5 to get -2.

$$2-49i+\left(-2\right)^{3}$$

Calculate -2 to the power of 3 and get -8.

$$2-49i-8$$

Subtract 8 from 2-49i to get -6-49i.

$$-6-49i$$

Real Part (complex solution)

$$-6$$

Solution Steps

Calculate \sqrt[3]{8} and get 2.

$$Re(2-7^{2}\sqrt{-1}+\left(5-7\right)^{3})$$

Calculate 7 to the power of 2 and get 49.

$$Re(2-49\sqrt{-1}+\left(5-7\right)^{3})$$

Calculate the square root of -1 and get i.

$$Re(2-49i+\left(5-7\right)^{3})$$

Subtract 7 from 5 to get -2.

$$Re(2-49i+\left(-2\right)^{3})$$

Calculate -2 to the power of 3 and get -8.

$$Re(2-49i-8)$$

Subtract 8 from 2-49i to get -6-49i.

$$Re(-6-49i)$$

The real part of -6-49i is -6.

$$-6$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Calculate \sqrt[3]{8} and get 2.

$$2-7^{2}\sqrt{-1}+\left(5-7\right)^{3}$$

Calculate 7 to the power of 2 and get 49.

$$2-49\sqrt{-1}+\left(5-7\right)^{3}$$

Subtract 7 from 5 to get -2.

$$2-49\sqrt{-1}+\left(-2\right)^{3}$$

Calculate -2 to the power of 3 and get -8.

$$2-49\sqrt{-1}-8$$

Subtract 8 from 2 to get -6.

$$-6-49\sqrt{-1}$$