Solve 2*(-5^3):(+12^4)*5

$$2 \cdot ( - 5 ^ { 3 } ) : ( + 12 ^ { 4 } ) \cdot 5$$

Evaluate

$$-\frac{625}{10368}\approx -0.060281636$$

Solution Steps

Calculate 5 to the power of 3 and get 125.

$$\frac{2\left(-125\right)}{12^{4}}\times 5$$

Multiply 2 and -125 to get -250.

$$\frac{-250}{12^{4}}\times 5$$

Calculate 12 to the power of 4 and get 20736.

$$\frac{-250}{20736}\times 5$$

Reduce the fraction \frac{-250}{20736} to lowest terms by extracting and canceling out 2.

$$-\frac{125}{10368}\times 5$$

Express -\frac{125}{10368}\times 5 as a single fraction.

$$\frac{-125\times 5}{10368}$$

Multiply -125 and 5 to get -625.

$$\frac{-625}{10368}$$

Fraction \frac{-625}{10368} can be rewritten as -\frac{625}{10368} by extracting the negative sign.

$$-\frac{625}{10368}$$

Factor

$$-\frac{625}{10368} = -0.06028163580246913$$