Solve -5^2t*(-8t^2)div(-3y^2)

$$- 5 ^ { 2 } t \times ( - 8 t ^ { 2 } ) \div ( - 3 y ^ { 2 } )$$

Evaluate

$$-\frac{200t^{3}}{3y^{2}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{\left(-5^{2}\right)t^{3}\left(-8\right)}{-3y^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{-25t^{3}\left(-8\right)}{-3y^{2}}$$

Multiply -25 and -8 to get 200.

$$\frac{200t^{3}}{-3y^{2}}$$

Differentiate w.r.t. y

$$\frac{400\times \left(\frac{t}{y}\right)^{3}}{3}$$