Question

What is the product of (5 Superscript negative 1 Baseline) (5 Superscript negative 3 Baseline)? answer is A

Answer 1

1/625 or StartFraction 1 Over 625 EndFraction

A on edge2020

Answer 2

`(1)/(625)`

Explanation:

Given the indicinal equation;

`{5^(-1) }*{5^(-3) }`

To multiply them, we will apply the multiplicative law of indices as shown where a, b, m and n can take any value;

`a^(m) *a^(n) \\= a^(m+n)`

applying the formula to the given question;

`{5^(-1) }*{5^(-3) }`

`= 5^(-1+(-3)) \\= 5^(-1-3)\\ = 5^(-4) \\= (1)/(5^(4) ) \\= (1)/(625)`

The product is
`(1)/(625)`