Question

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

Answer 1

Answer: 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 $a^m\times a^n=a^{m+n}$)

⇒$5^-1 \times 5^-3=\frac{1}{5^{4}}$

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

Answer 2

Answer is A. 1/625

-nyfb