Simplify ((4t)^4)/(5t)

$\frac{{(4 t)}^{4}}{5 t}$

Simplify the numerator.

Apply the product rule to $4 t$ .

$\frac{4^{4} t^{4}}{5 t}$

Raise $4$ to the power of $4$ .

$\frac{256 t^{4}}{5 t}$

$\frac{256 t^{4}}{5 t}$

Cancel the common factor of $t^{4}$ and $t$ .

Factor $t$ out of $256 t^{4}$ .

$\frac{t (256 t^{3})}{5 t}$

Cancel the common factors.

Factor $t$ out of $5 t$ .

$\frac{t (256 t^{3})}{t \cdot 5}$

Cancel the common factor.

$\frac{t (256 t^{3})}{t \cdot 5}$

Rewrite the expression.

$\frac{256 t^{3}}{5}$

$\frac{256 t^{3}}{5}$

$\frac{256 t^{3}}{5}$

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