Solve [(sqrt[4]{81}-2sqrt[3]{8})(-1/4*2)^0]-(-5+10/2)

$$[ ( \sqrt[ 4 ] { 81 } - 2 \sqrt[ 3 ] { 8 } ) ( - \frac { 1 } { 4 } \times 2 ) ^ { 0 } ] - ( - 5 + \frac { 10 } { 2 } )$$

Evaluate

$$-1$$

Solution Steps

Calculate \sqrt[4]{81} and get 3.

$$\left(3-2\sqrt[3]{8}\right)\left(-\frac{1}{4}\times 2\right)^{0}-\left(-5+\frac{10}{2}\right)$$

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

$$\left(3-2\times 2\right)\left(-\frac{1}{4}\times 2\right)^{0}-\left(-5+\frac{10}{2}\right)$$

Multiply -2 and 2 to get -4.

$$\left(3-4\right)\left(-\frac{1}{4}\times 2\right)^{0}-\left(-5+\frac{10}{2}\right)$$

Subtract 4 from 3 to get -1.

$$-\left(-\frac{1}{4}\times 2\right)^{0}-\left(-5+\frac{10}{2}\right)$$

Multiply -\frac{1}{4} and 2 to get -\frac{1}{2}.

$$-\left(-\frac{1}{2}\right)^{0}-\left(-5+\frac{10}{2}\right)$$

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

$$-1-\left(-5+\frac{10}{2}\right)$$

Divide 10 by 2 to get 5.

$$-1-\left(-5+5\right)$$

Add -5 and 5 to get 0.

$$-1-0$$

Subtract 0 from -1 to get -1.

$$-1$$

Factor

$$-1$$