Solve 16^frac{3{4}}-2^-1*64^frac{1{3}}

$$16 ^ { \frac { 3 } { 4 } } - 2 ^ { - 1 } \times 64 ^ { \frac { 1 } { 3 } }$$

Evaluate

$$6$$

Solution Steps

Calculate 16 to the power of \frac{3}{4} and get 8.

$$8-2^{-1}\times 64^{\frac{1}{3}}$$

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

$$8-\frac{1}{2}\times 64^{\frac{1}{3}}$$

Calculate 64 to the power of \frac{1}{3} and get 4.

$$8-\frac{1}{2}\times 4$$

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

$$8-2$$

Subtract 2 from 8 to get 6.

$$6$$

Factor

$$2\times 3$$