Simplify (6^0)/(6^4*6^6)

$\frac{6^{0}}{6^{4} \cdot 6^{6}}$

Step 1

Multiply $6^{4}$ by $6^{6}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6^{0}}{6^{4 + 6}}$

Add $4$ and $6$ .

$\frac{6^{0}}{6^{10}}$

Step 2

Cancel the common factor of $6^{0}$ and $6^{10}$ .

Multiply by $1$ .

$\frac{6^{0} \cdot 1}{6^{10}}$

Cancel the common factors.

Factor $6^{0}$ out of $6^{10}$ .

$\frac{6^{0} \cdot 1}{6^{0} \cdot 6^{10}}$

Cancel the common factor.

$\frac{6^{0} \cdot 1}{6^{0} \cdot 6^{10}}$

Rewrite the expression.

$\frac{1}{6^{10}}$

Step 3

Raise $6$ to the power of $10$ .

$\frac{1}{60466176}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{60466176}$

Decimal Form:

$1.65381716 \cdot 10^{- 8}$