Evaluate (2^55^22-25^21)/(25^10)

$\frac{2^{5} \cdot 5^{22} - 2 \cdot 5^{21}}{25^{10}}$

Simplify the numerator.

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

$\frac{32 \cdot 5^{22} - 2 \cdot 5^{21}}{25^{10}}$

Raise $5$ to the power of $22$ .

$\frac{32 \cdot 2384185791015620 - 2 \cdot 5^{21}}{25^{10}}$

Multiply $32$ by $2384185791015620$ .

$\frac{76293945312499840 - 2 \cdot 5^{21}}{25^{10}}$

Raise $5$ to the power of $21$ .

$\frac{76293945312499840 - 2 \cdot 476837158203125}{25^{10}}$

Multiply $- 2$ by $476837158203125$ .

$\frac{76293945312499840 - 953674316406250}{25^{10}}$

Subtract $953674316406250$ from $76293945312499840$ .

$\frac{75340270996093590}{25^{10}}$

Reduce the expression by cancelling the common factors.

Raise $25$ to the power of $10$ .

$\frac{75340270996093590}{95367431640625}$

Cancel the common factor of $75340270996093590$ and $95367431640625$ .

Factor $5$ out of $75340270996093590$ .

$\frac{5 (15068054199218718)}{95367431640625}$

Cancel the common factors.

Factor $5$ out of $95367431640625$ .

$\frac{5 \cdot 15068054199218718}{5 \cdot 19073486328125}$

Cancel the common factor.

$\frac{5 \cdot 15068054199218718}{5 \cdot 19073486328125}$

Rewrite the expression.

$\frac{15068054199218718}{19073486328125}$

The result can be shown in multiple forms.

Exact Form:

$\frac{15068054199218718}{19073486328125}$

Decimal Form:

$789.\overline{9}$

Evaluate (2^5*5^22-2*5^21)/(25^10)