Solve (8)^-frac{1{3}}(16)^frac{3{4}}(-4)^0=

$$( 8 ) ^ { - \frac { 1 } { 3 } } ( 16 ) ^ { \frac { 3 } { 4 } } ( - 4 ) ^ { 0 } =$$

Evaluate

$$4$$

Solution Steps

Calculate 8 to the power of -\frac{1}{3} and get \frac{1}{2}.

$$\frac{1}{2}\times 16^{\frac{3}{4}}\left(-4\right)^{0}$$

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

$$\frac{1}{2}\times 8\left(-4\right)^{0}$$

Multiply \frac{1}{2} and 8 to get 4.

$$4\left(-4\right)^{0}$$

Calculate -4 to the power of 0 and get 1.

$$4\times 1$$

Multiply 4 and 1 to get 4.

$$4$$

Factor

$$2^{2}$$