Question

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

Answer 1

Answer is A. 1/625

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Answer 2

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

Step-by-step explanation:

Here, The given expression,
`5^(-1) * 5^-3`

We can write,
`5^-1 * 5^-3=(5^(-1))/(5^3)` ( because we can write
`a^m=1/a^(-m)`)

⇒
`5^-1 * 5^-3=(1)/(5^1* 5^3)`

⇒
`5^-1 * 5^-3=(1)/(5^(1+3))` ( because
`a^m* a^n=a^(m+n)`)

⇒
`5^-1 * 5^-3=(1)/(5^(4))`

⇒
`5^-1 * 5^-3=(1)/(625)`=
`0.0016`