Solve (4/5)^-2-(1/27)^frac{1{3}}+4*379^0

$$( \frac { 4 } { 5 } ) ^ { - 2 } - ( \frac { 1 } { 27 } ) ^ { \frac { 1 } { 3 } } + 4 \cdot 379 ^ { 0 }$$

Evaluate

$$\frac{251}{48}\approx 5.229166667$$

Solution Steps

Calculate \frac{4}{5} to the power of -2 and get \frac{25}{16}.

$$\frac{25}{16}-\left(\frac{1}{27}\right)^{\frac{1}{3}}+4\times 379^{0}$$

Calculate \frac{1}{27} to the power of \frac{1}{3} and get \frac{1}{3}.

$$\frac{25}{16}-\frac{1}{3}+4\times 379^{0}$$

Subtract \frac{1}{3} from \frac{25}{16} to get \frac{59}{48}.

$$\frac{59}{48}+4\times 379^{0}$$

Calculate 379 to the power of 0 and get 1.

$$\frac{59}{48}+4\times 1$$

Multiply 4 and 1 to get 4.

$$\frac{59}{48}+4$$

Add \frac{59}{48} and 4 to get \frac{251}{48}.

$$\frac{251}{48}$$

Factor

$$\frac{251}{2 ^ {4} \cdot 3} = 5\frac{11}{48} = 5.229166666666667$$