Evaluate (8^-4)/(8^2)

$\frac{8^{- 4}}{8^{2}}$

Step 1

Move $8^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{8^{2} \cdot 8^{4}}$

Step 2

Multiply $8^{2}$ by $8^{4}$ by adding the exponents.

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

$\frac{1}{8^{2 + 4}}$

Add $2$ and $4$ .

$\frac{1}{8^{6}}$

Step 3

Raise $8$ to the power of $6$ .

$\frac{1}{262144}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{262144}$

Decimal Form:

$3.81469726 \cdot 10^{- 6}$