Solve 2^5/5-2^4+4/3*2^3

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

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$\frac{32}{5}-2^{4}+\frac{4}{3}\times 2^{3}$$

Calculate 2 to the power of 4 and get 16.

$$\frac{32}{5}-16+\frac{4}{3}\times 2^{3}$$

Convert 16 to fraction \frac{80}{5}.

$$\frac{32}{5}-\frac{80}{5}+\frac{4}{3}\times 2^{3}$$

Since \frac{32}{5} and \frac{80}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-80}{5}+\frac{4}{3}\times 2^{3}$$

Subtract 80 from 32 to get -48.

$$-\frac{48}{5}+\frac{4}{3}\times 2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$-\frac{48}{5}+\frac{4}{3}\times 8$$

Express \frac{4}{3}\times 8 as a single fraction.

$$-\frac{48}{5}+\frac{4\times 8}{3}$$

Multiply 4 and 8 to get 32.

$$-\frac{48}{5}+\frac{32}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{48}{5} and \frac{32}{3} to fractions with denominator 15.

$$-\frac{144}{15}+\frac{160}{15}$$

Since -\frac{144}{15} and \frac{160}{15} have the same denominator, add them by adding their numerators.

$$\frac{-144+160}{15}$$

Add -144 and 160 to get 16.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$