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

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

Evaluate

$$2$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{16^{\frac{3}{4}}}{4^{1}}$$

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

$$\frac{8}{4^{1}}$$

Calculate 4 to the power of 1 and get 4.

$$\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$2$$

Factor

$$2$$