Write the Fraction in Simplest Form (2^8z^10)/(2^6z^3)

$\frac{2^{8} z^{10}}{2^{6} z^{3}}$

Step 1

Cancel the common factor of $2^{8}$ and $2^{6}$ .

Factor $2^{6}$ out of $2^{8} z^{10}$ .

$\frac{2^{6} (2^{2} z^{10})}{2^{6} z^{3}}$

Cancel the common factors.

Factor $2^{6}$ out of $2^{6} z^{3}$ .

$\frac{2^{6} (2^{2} z^{10})}{2^{6} (z^{3})}$

Cancel the common factor.

$\frac{2^{6} (2^{2} z^{10})}{2^{6} z^{3}}$

Rewrite the expression.

$\frac{2^{2} z^{10}}{z^{3}}$

Step 2

Cancel the common factor of $z^{10}$ and $z^{3}$ .

Factor $z^{3}$ out of $2^{2} z^{10}$ .

$\frac{z^{3} (2^{2} z^{7})}{z^{3}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{z^{3} (2^{2} z^{7})}{z^{3} \cdot 1}$

Cancel the common factor.

$\frac{z^{3} (2^{2} z^{7})}{z^{3} \cdot 1}$

Rewrite the expression.

$\frac{2^{2} z^{7}}{1}$

Divide $2^{2} z^{7}$ by $1$ .

$2^{2} z^{7}$

Step 3

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

$4 z^{7}$