What is the product of (5^1) (5^-3)

1/625 0r 0.0016 is the product of the given expression.

Step-by-step explanation:

Here, The given expression, 5^{-1} \times 5^-3

We can write, 5^-1 \times 5^-3=\frac{5^{-1}}{5^3} ( because we can write a^m=1/a^{-m})

⇒5^-1 \times 5^-3=\frac{1}{5^1\times 5^3}

⇒5^-1 \times 5^-3=\frac{1}{5^{1+3}} ( because a^m\times a^n=a^{m+n})

⇒5^-1 \times 5^-3=\frac{1}{5^{4}}

⇒5^-1 \times 5^-3=\frac{1}{625}=0.0016