Solve 2/3*2^6-1/60*2^10

$$\frac { 2 } { 3 } \times 2 ^ { 6 } - \frac { 1 } { 60 } \times 2 ^ { 10 }$$

Evaluate

$$\frac{128}{5}=25.6$$

Solution Steps

Calculate 2 to the power of 6 and get 64.

$$\frac{2}{3}\times 64-\frac{1}{60}\times 2^{10}$$

Express \frac{2}{3}\times 64 as a single fraction.

$$\frac{2\times 64}{3}-\frac{1}{60}\times 2^{10}$$

Multiply 2 and 64 to get 128.

$$\frac{128}{3}-\frac{1}{60}\times 2^{10}$$

Calculate 2 to the power of 10 and get 1024.

$$\frac{128}{3}-\frac{1}{60}\times 1024$$

Multiply \frac{1}{60} and 1024 to get \frac{1024}{60}.

$$\frac{128}{3}-\frac{1024}{60}$$

Reduce the fraction \frac{1024}{60} to lowest terms by extracting and canceling out 4.

$$\frac{128}{3}-\frac{256}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{128}{3} and \frac{256}{15} to fractions with denominator 15.

$$\frac{640}{15}-\frac{256}{15}$$

Since \frac{640}{15} and \frac{256}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{640-256}{15}$$

Subtract 256 from 640 to get 384.

$$\frac{384}{15}$$

Reduce the fraction \frac{384}{15} to lowest terms by extracting and canceling out 3.

$$\frac{128}{5}$$

Factor

$$\frac{2 ^ {7}}{5} = 25\frac{3}{5} = 25.6$$