Simplify the Radical Expression (4^9)/(4^3)

$\frac{4^{9}}{4^{3}}$

Step 1

Cancel the common factor of $4^{9}$ and $4^{3}$ .

Factor $4^{3}$ out of $4^{9}$ .

$\frac{4^{3} \cdot 4^{6}}{4^{3}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{4^{3} \cdot 4^{6}}{4^{3} \cdot 1}$

Cancel the common factor.

$\frac{4^{3} \cdot 4^{6}}{4^{3} \cdot 1}$

Rewrite the expression.

$\frac{4^{6}}{1}$

Divide $4^{6}$ by $1$ .

$4^{6}$

$4^{6}$

$4^{6}$

Step 2

Raise $4$ to the power of $6$ .

$4096$

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