Solve 0,26(6)^4/4-1,53(6)^3/3

$$\frac { 0,26 ( 6 ) ^ { 4 } } { 4 } - \frac { 1,53 ( 6 ) ^ { 3 } } { 3 }$$

Evaluate

$$-25,92$$

Solution Steps

Calculate 6 to the power of 4 and get 1296.

$$\frac{0,26\times 1296}{4}-\frac{1,53\times 6^{3}}{3}$$

Multiply 0,26 and 1296 to get 336,96.

$$\frac{336,96}{4}-\frac{1,53\times 6^{3}}{3}$$

Expand \frac{336,96}{4} by multiplying both numerator and the denominator by 100.

$$\frac{33696}{400}-\frac{1,53\times 6^{3}}{3}$$

Reduce the fraction \frac{33696}{400} to lowest terms by extracting and canceling out 16.

$$\frac{2106}{25}-\frac{1,53\times 6^{3}}{3}$$

Calculate 6 to the power of 3 and get 216.

$$\frac{2106}{25}-\frac{1,53\times 216}{3}$$

Multiply 1,53 and 216 to get 330,48.

$$\frac{2106}{25}-\frac{330,48}{3}$$

Expand \frac{330,48}{3} by multiplying both numerator and the denominator by 100.

$$\frac{2106}{25}-\frac{33048}{300}$$

Reduce the fraction \frac{33048}{300} to lowest terms by extracting and canceling out 12.

$$\frac{2106}{25}-\frac{2754}{25}$$

Since \frac{2106}{25} and \frac{2754}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2106-2754}{25}$$

Subtract 2754 from 2106 to get -648.

$$-\frac{648}{25}$$

Factor

$$-25,92$$