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Answer 1 · 2017-06-13T07:19:12

$1 / (1/125)$ .

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

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

Answer 2 · 2017-06-13T10:13:14

It's $125$ .

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 · 2017-06-13T15:23:58

The reciprocal is $125$

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 $125/1 = 125$