Solve -3/7tdiv(-t)^3*(-14/2t^4)

$$- \frac { 3 } { 7 } t \div ( - t ) ^ { 3 } \times ( - \frac { 14 } { 2 } t ^ { 4 } )$$

Evaluate

$$-3t^{2}$$

Solution Steps

Divide 14 by 2 to get 7.

$$\frac{-\frac{3}{7}t}{\left(-t\right)^{3}}\left(-7\right)t^{4}$$

Expand \left(-t\right)^{3}.

$$\frac{-\frac{3}{7}t}{\left(-1\right)^{3}t^{3}}\left(-7\right)t^{4}$$

Calculate -1 to the power of 3 and get -1.

$$\frac{-\frac{3}{7}t}{-t^{3}}\left(-7\right)t^{4}$$

Cancel out t in both numerator and denominator.

$$\frac{-\frac{3}{7}}{-t^{2}}\left(-7\right)t^{4}$$

Express \frac{-\frac{3}{7}}{-t^{2}} as a single fraction.

$$\frac{-3}{7\left(-1\right)t^{2}}\left(-7\right)t^{4}$$

Multiply 7 and -1 to get -7.

$$\frac{-3}{-7t^{2}}\left(-7\right)t^{4}$$

Express \frac{-3}{-7t^{2}}\left(-7\right) as a single fraction.

$$\frac{-\left(-3\right)\times 7}{-7t^{2}}t^{4}$$

Cancel out 7 in both numerator and denominator.

$$\frac{-3\left(-1\right)}{-t^{2}}t^{4}$$

Cancel out -1 in both numerator and denominator.

$$\frac{-3}{t^{2}}t^{4}$$

Express \frac{-3}{t^{2}}t^{4} as a single fraction.

$$\frac{-3t^{4}}{t^{2}}$$

Cancel out t^{2} in both numerator and denominator.

$$-3t^{2}$$

Expand

$$-3t^{2}$$

Solution Steps

Divide 14 by 2 to get 7.

$$\frac{-\frac{3}{7}t}{\left(-t\right)^{3}}\left(-7\right)t^{4}$$

Expand \left(-t\right)^{3}.

$$\frac{-\frac{3}{7}t}{\left(-1\right)^{3}t^{3}}\left(-7\right)t^{4}$$

Calculate -1 to the power of 3 and get -1.

$$\frac{-\frac{3}{7}t}{-t^{3}}\left(-7\right)t^{4}$$

Cancel out t in both numerator and denominator.

$$\frac{-\frac{3}{7}}{-t^{2}}\left(-7\right)t^{4}$$

Express \frac{-\frac{3}{7}}{-t^{2}} as a single fraction.

$$\frac{-3}{7\left(-1\right)t^{2}}\left(-7\right)t^{4}$$

Multiply 7 and -1 to get -7.

$$\frac{-3}{-7t^{2}}\left(-7\right)t^{4}$$

Express \frac{-3}{-7t^{2}}\left(-7\right) as a single fraction.

$$\frac{-\left(-3\right)\times 7}{-7t^{2}}t^{4}$$

Cancel out 7 in both numerator and denominator.

$$\frac{-3\left(-1\right)}{-t^{2}}t^{4}$$

Cancel out -1 in both numerator and denominator.

$$\frac{-3}{t^{2}}t^{4}$$

Express \frac{-3}{t^{2}}t^{4} as a single fraction.

$$\frac{-3t^{4}}{t^{2}}$$

Cancel out t^{2} in both numerator and denominator.

$$-3t^{2}$$