Simplify (5^-6)/(5^-4)

$\frac{5^{- 6}}{5^{- 4}}$

Step 1

Move $5^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{5^{- 4} \cdot 5^{6}}$

Step 2

Multiply $5^{- 4}$ by $5^{6}$ by adding the exponents.

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

$\frac{1}{5^{- 4 + 6}}$

Add $- 4$ and $6$ .

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

Step 3

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

$\frac{1}{25}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{25}$

Decimal Form:

$0.04$