Simplify (10^4*4^10)/(4^5)

$\frac{10^{4} \cdot 4^{10}}{4^{5}}$

Cancel the common factor of $4^{10}$ and $4^{5}$ .

Factor $4^{5}$ out of $10^{4} \cdot 4^{10}$ .

$\frac{4^{5} (10^{4} \cdot 4^{5})}{4^{5}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{4^{5} (10^{4} \cdot 4^{5})}{4^{5} \cdot 1}$

Cancel the common factor.

$\frac{4^{5} (10^{4} \cdot 4^{5})}{4^{5} \cdot 1}$

Rewrite the expression.

$\frac{10^{4} \cdot 4^{5}}{1}$

Divide $10^{4} \cdot 4^{5}$ by $1$ .

$10^{4} \cdot 4^{5}$

Simplify the expression.

Raise $10$ to the power of $4$ .

$10000 \cdot 4^{5}$

Raise $4$ to the power of $5$ .

$10000 \cdot 1024$

Multiply $10000$ by $1024$ .

$10240000$