Divide (4^2)÷(4^6)

$4^{2} \div 4^{6}$

Step 1

Rewrite the division as a fraction.

$\frac{4^{2}}{4^{6}}$

Step 2

Cancel the common factor of $4^{2}$ and $4^{6}$ .

Multiply by $1$ .

$\frac{4^{2} \cdot 1}{4^{6}}$

Cancel the common factors.

Factor $4^{2}$ out of $4^{6}$ .

$\frac{4^{2} \cdot 1}{4^{2} \cdot 4^{4}}$

Cancel the common factor.

$\frac{4^{2} \cdot 1}{4^{2} \cdot 4^{4}}$

Rewrite the expression.

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

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

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

Step 3

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

$\frac{1}{256}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{256}$

Decimal Form:

$0.00390625$

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