Simplify (2^66^18)/(2^259^9)

$\frac{2^{6} \cdot 6^{18}}{2^{25} \cdot 9^{9}}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $2^{6}$ and $2^{25}$ .

Factor $2^{6}$ out of $2^{6} \cdot 6^{18}$ .

$\frac{2^{6} (6^{18})}{2^{25} \cdot 9^{9}}$

Cancel the common factors.

Factor $2^{6}$ out of $2^{25} \cdot 9^{9}$ .

$\frac{2^{6} (6^{18})}{2^{6} (2^{19} \cdot 9^{9})}$

Cancel the common factor.

$\frac{2^{6} \cdot 6^{18}}{2^{6} (2^{19} \cdot 9^{9})}$

Rewrite the expression.

$\frac{6^{18}}{2^{19} \cdot 9^{9}}$

Raise $6$ to the power of $18$ .

$\frac{101559956668416}{2^{19} \cdot 9^{9}}$

Simplify the denominator.

Raise $2$ to the power of $19$ .

$\frac{101559956668416}{524288 \cdot 9^{9}}$

Raise $9$ to the power of $9$ .

$\frac{101559956668416}{524288 \cdot 387420489}$

Reduce the expression by cancelling the common factors.

Multiply $524288$ by $387420489$ .

$\frac{101559956668416}{203119913336832}$

Cancel the common factor of $101559956668416$ and $203119913336832$ .

Factor $101559956668416$ out of $101559956668416$ .

$\frac{101559956668416 (1)}{203119913336832}$

Cancel the common factors.

Factor $101559956668416$ out of $203119913336832$ .

$\frac{101559956668416 \cdot 1}{101559956668416 \cdot 2}$

Cancel the common factor.

$\frac{101559956668416 \cdot 1}{101559956668416 \cdot 2}$

Rewrite the expression.

$\frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

Simplify (2^6*6^18)/(2^25*9^9)