Solve 51/2+sqrt{2916}+left(2^-1right)^-2-sqrt[3]{81}

$$5 \frac{ 1 }{ 2 } + \sqrt{ 2916 } + { \left( { 2 }^{ -1 } \right) }^{ -2 } - \sqrt[ 3 ]{ 81 }$$

Evaluate

$$\frac{127}{2}-3^{\frac{4}{3}}\approx 59.173251289$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -1 and -2 to get 2.

$$\frac{5\times 2+1}{2}+\sqrt{2916}+2^{2}-\sqrt[3]{81}$$

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}+\sqrt{2916}+2^{2}-\sqrt[3]{81}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}+\sqrt{2916}+2^{2}-\sqrt[3]{81}$$

Calculate the square root of 2916 and get 54.

$$\frac{11}{2}+54+2^{2}-\sqrt[3]{81}$$

Add \frac{11}{2} and 54 to get \frac{119}{2}.

$$\frac{119}{2}+2^{2}-\sqrt[3]{81}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{119}{2}+4-\sqrt[3]{81}$$

Add \frac{119}{2} and 4 to get \frac{127}{2}.

$$\frac{127}{2}-\sqrt[3]{81}$$

Factor

$$\frac{127 - 6 \sqrt[3]{3}}{2} = 59.173251289077776$$