Write the Fraction in Simplest Form (20t^2)/((5t)^2)

$\frac{20 t^{2}}{{(5 t)}^{2}}$

Simplify the denominator.

Apply the product rule to $5 t$ .

$\frac{20 t^{2}}{5^{2} t^{2}}$

Raise $5$ to the power of $2$ .

$\frac{20 t^{2}}{25 t^{2}}$

$\frac{20 t^{2}}{25 t^{2}}$

Cancel the common factor of $20$ and $25$ .

Factor $5$ out of $20 t^{2}$ .

$\frac{5 (4 t^{2})}{25 t^{2}}$

Cancel the common factors.

Factor $5$ out of $25 t^{2}$ .

$\frac{5 (4 t^{2})}{5 (5 t^{2})}$

Cancel the common factor.

$\frac{5 (4 t^{2})}{5 (5 t^{2})}$

Rewrite the expression.

$\frac{4 t^{2}}{5 t^{2}}$

$\frac{4 t^{2}}{5 t^{2}}$

$\frac{4 t^{2}}{5 t^{2}}$

Cancel the common factor of $t^{2}$ .

Cancel the common factor.

$\frac{4 t^{2}}{5 t^{2}}$

Rewrite the expression.

$\frac{4}{5}$

$\frac{4}{5}$

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