Find the Product (5^-1)(5^-3)

$(5^{- 1}) (5^{- 3})$

Multiply $5^{- 1}$ by $5^{- 3}$ by adding the exponents.

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

$5^{- 1 - 3}$

Subtract $3$ from $- 1$ .

$5^{- 4}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{5^{4}}$

Raise $5$ to the power of $4$ .

$\frac{1}{625}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{625}$

Decimal Form:

$0.0016$