Evaluate 1/(8*2^2)

$\frac{1}{8 \cdot 2^{2}}$

Simplify the denominator.

Rewrite $8$ as $2^{3}$ .

$\frac{1}{2^{3} \cdot 2^{2}}$

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

$\frac{1}{2^{3 + 2}}$

Add $3$ and $2$ .

$\frac{1}{2^{5}}$

Raise $2$ to the power of $5$ .

$\frac{1}{32}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{32}$

Decimal Form:

$0.03125$