Question

Rewrite using a single positive exponent 5^-8*5^5

Answer 1

`(1)/(5^(3) )`

Explanation:

Using the rules of exponents

`a^(m)` ×
`a^(n)` ⇔
`a^((m+n))` ,
`a^(-m)` =
`(1)/(a^(m) )`

`5^(-8)` ×
`5^(5)`

=
`5^((-8+5))`

=
`5^(-3)`

=
`(1)/(5^(3) )`

Answer 2

1/5^8 ⋅ 5^5

Explanation: