Solve 0.064^-frac{1{3}}-(-7/8)^0+16^0.75+0.01^frac{1{2}}

$$0.064 ^ { - \frac { 1 } { 3 } } - ( - \frac { 7 } { 8 } ) ^ { 0 } + 16 ^ { 0.75 } + 0.01 ^ { \frac { 1 } { 2 } }$$

Evaluate

$$9.6$$

Solution Steps

Calculate 0.064 to the power of -\frac{1}{3} and get \frac{5}{2}.

$$\frac{5}{2}-\left(-\frac{7}{8}\right)^{0}+16^{0.75}+0.01^{\frac{1}{2}}$$

Calculate -\frac{7}{8} to the power of 0 and get 1.

$$\frac{5}{2}-1+16^{0.75}+0.01^{\frac{1}{2}}$$

Subtract 1 from \frac{5}{2} to get \frac{3}{2}.

$$\frac{3}{2}+16^{0.75}+0.01^{\frac{1}{2}}$$

Calculate 16 to the power of 0.75 and get 8.

$$\frac{3}{2}+8+0.01^{\frac{1}{2}}$$

Add \frac{3}{2} and 8 to get \frac{19}{2}.

$$\frac{19}{2}+0.01^{\frac{1}{2}}$$

Calculate 0.01 to the power of \frac{1}{2} and get \frac{1}{10}.

$$\frac{19}{2}+\frac{1}{10}$$

Add \frac{19}{2} and \frac{1}{10} to get \frac{48}{5}.

$$\frac{48}{5}$$

Factor

$$\frac{3 \cdot 2 ^ {4}}{5} = 9\frac{3}{5} = 9.6$$