Solve 3*2-4*5/2^7

$$3 \cdot 2 - 4 \cdot 5 / 2 ^ { 7 }$$

Evaluate

$$-\frac{77933}{32}=-2435.40625$$

Solution Steps

Multiply 3 and 2 to get 6.

$$6-4\times \left(\frac{5}{2}\right)^{7}$$

Calculate \frac{5}{2} to the power of 7 and get \frac{78125}{128}.

$$6-4\times \frac{78125}{128}$$

Express 4\times \frac{78125}{128} as a single fraction.

$$6-\frac{4\times 78125}{128}$$

Multiply 4 and 78125 to get 312500.

$$6-\frac{312500}{128}$$

Reduce the fraction \frac{312500}{128} to lowest terms by extracting and canceling out 4.

$$6-\frac{78125}{32}$$

Convert 6 to fraction \frac{192}{32}.

$$\frac{192}{32}-\frac{78125}{32}$$

Since \frac{192}{32} and \frac{78125}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{192-78125}{32}$$

Subtract 78125 from 192 to get -77933.

$$-\frac{77933}{32}$$

Factor

$$-\frac{77933}{32} = -2435\frac{13}{32} = -2435.40625$$