Solve (-3+2)^-2+[(-sqrt{9}+2sqrt[3]{8})(5/4*2)^0]

$$( - 3 + 2 ) ^ { - 2 } + [ ( - \sqrt { 9 } + 2 \sqrt[ 3 ] { 8 } ) ( \frac { 5 } { 4 } \times 2 ) ^ { 0 } ]$$

Evaluate

$$2$$

Solution Steps

Add -3 and 2 to get -1.

$$\left(-1\right)^{-2}+\left(-\sqrt{9}+2\sqrt[3]{8}\right)\times \left(\frac{5}{4}\times 2\right)^{0}$$

Calculate -1 to the power of -2 and get 1.

$$1+\left(-\sqrt{9}+2\sqrt[3]{8}\right)\times \left(\frac{5}{4}\times 2\right)^{0}$$

Calculate the square root of 9 and get 3.

$$1+\left(-3+2\sqrt[3]{8}\right)\times \left(\frac{5}{4}\times 2\right)^{0}$$

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

$$1+\left(-3+2\times 2\right)\times \left(\frac{5}{4}\times 2\right)^{0}$$

Multiply 2 and 2 to get 4.

$$1+\left(-3+4\right)\times \left(\frac{5}{4}\times 2\right)^{0}$$

Add -3 and 4 to get 1.

$$1+1\times \left(\frac{5}{4}\times 2\right)^{0}$$

Multiply \frac{5}{4} and 2 to get \frac{5}{2}.

$$1+1\times \left(\frac{5}{2}\right)^{0}$$

Calculate \frac{5}{2} to the power of 0 and get 1.

$$1+1\times 1$$

Multiply 1 and 1 to get 1.

$$1+1$$

Add 1 and 1 to get 2.

$$2$$

Factor

$$2$$