Question

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

1/625
1/25
25
125

Answer 1

the answer is 1/625
Did you need an explanation? :)

Answer 2

`(1)/(625)`

Explanation:

The given expression is
`(5^(-1))(5^(-3))`

Apply the product law of exponent:
`x^a\cdot x^b=x^(a+b)`

`(5^(-1))(5^(-3))\\\\=5^(-1+(-3))\\\\=5^(-4)`

Now, apply the exponent rule:
`x^(-a)=(1)/(x^a)`

`5^(-4)\\\\=(1)/(5^4)\\\\=(1)/(625)`

Therefore, the product of the given expression is
`(1)/(625)`