Solve h(t)=-5t^214t^3

Evaluate

h (t) = - 5 t^{2} \times 14 t^{3}

Simplify

More Steps

h (t) = - 70 t^{5}

In the equation for h (t),replace h (t) with y

y = - 70 t^{5}

Interchange t and y

t = - 70 y^{5}

Swap the sides of the equation

- 70 y^{5} = t

Change the signs on both sides of the equation

70 y^{5} = - t

Divide both sides

\frac{70 y ^{5}}{70} = \frac{- t}{70}

Divide the numbers

y^{5} = \frac{- t}{70}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

y^{5} = - \frac{t}{70}

Take the 5 -th root on both sides of the equation

5 y^{5} = 5 - \frac{t}{70}

Calculate

y = 5 - \frac{t}{70}

Simplify the root

More Steps

y = - \frac{5 7 0 ^{4} t}{70}

Solution

h^{- 1} (t) = - \frac{5 7 0 ^{4} t}{70}

Function