Solve (2^4/5)div(4/6)=

$$( 2 ^ { 4 } / 5 ) \div ( 4 / 6 ) =$$

Evaluate

$$\frac{24}{5}=4.8$$

Solution Steps

Divide \frac{2^{4}}{5} by \frac{4}{6} by multiplying \frac{2^{4}}{5} by the reciprocal of \frac{4}{6}.

$$\frac{2^{4}\times 6}{5\times 4}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 2^{4}}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 2^{3}}{5}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{3\times 8}{5}$$

Multiply 3 and 8 to get 24.

$$\frac{24}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5} = 4\frac{4}{5} = 4.8$$