Question

Question #d577e

Answer 1

`1 / (1/125)`.

Explanation:

`5 ^ (-3) = (1/5) ^ 3 = 1/125 = 0.008" "` (in decimal notation).

Reciprocal `= 1 / (1/125) = 125 ->` Answer

Answer 2

It's `125`.

Explanation:

The reciprocal of `5` is `1/5`.

`1/5` to the `-3` power `=` `(1/5)^-3=1/(1/5)^3=1/(1/5*1/5*1/5` `=1/(1/125)=125`

Answer 3

The reciprocal is `125`

Explanation:

Before we find the reciprocal of the value given, let's simplify it first, because there is a negative index.

`5^-3 = 1/5^3" "larr` law of indices: `x^-m = 1/x^m`

The reciprocal of a number is also called its multiplicative inverse.
(Turn it upside down..)

Reciprocal of `2` is `1/2" and "`Reciprocal of `3/4` is `4/3`

Reciprocal of `-1/4` is `-4" and "`Reciprocal of `a/b` is `b/a`

The product of a number and its reciprocal is always `1`

Here we have `1/5^3 = 1/125`

The reciprocal is `125/1 = 125`