Solve -5^/7-2/12/-3

$$\frac{ - { 5 }^{ } }{ 7 } \frac{ -2 }{ 1 } \frac{ 2 }{ -3 }$$

Evaluate

$$-\frac{20}{21}\approx -0.952380952$$

Solution Steps

Calculate 5 to the power of 1 and get 5.

$$\frac{-5}{7}\times \frac{-2}{1}\times \frac{2}{-3}$$

Fraction \frac{-5}{7} can be rewritten as -\frac{5}{7} by extracting the negative sign.

$$-\frac{5}{7}\times \frac{-2}{1}\times \frac{2}{-3}$$

Anything divided by one gives itself.

$$-\frac{5}{7}\left(-2\right)\times \frac{2}{-3}$$

Express -\frac{5}{7}\left(-2\right) as a single fraction.

$$\frac{-5\left(-2\right)}{7}\times \frac{2}{-3}$$

Multiply -5 and -2 to get 10.

$$\frac{10}{7}\times \frac{2}{-3}$$

Fraction \frac{2}{-3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$\frac{10}{7}\left(-\frac{2}{3}\right)$$

Multiply \frac{10}{7} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\left(-2\right)}{7\times 3}$$

Do the multiplications in the fraction \frac{10\left(-2\right)}{7\times 3}.

$$\frac{-20}{21}$$

Fraction \frac{-20}{21} can be rewritten as -\frac{20}{21} by extracting the negative sign.

$$-\frac{20}{21}$$

Factor

$$-\frac{20}{21} = -0.9523809523809523$$