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

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

Evaluate

$$59$$

Solution Steps

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

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

Calculate 7 to the power of 2 and get 49.

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

Calculate \sqrt[3]{-1} and get -1.

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

Multiply 49 and -1 to get -49.

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

The opposite of -49 is 49.

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

Add 2 and 49 to get 51.

$$51+\left(5-3\right)^{3}$$

Subtract 3 from 5 to get 2.

$$51+2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$51+8$$

Add 51 and 8 to get 59.

$$59$$

Factor

$$59$$