Question #d577e

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Question #d577e

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Answer 1 · 2017-06-13T07:19:12

$\frac{1}{\frac{1}{125}}$ $1 / (1/125)$ .

Explanation:

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

Reciprocal $= \frac{1}{\frac{1}{125}} = 125 \to$ $= 1 / (1/125) = 125 ->$ Answer

Answer 2 · 2017-06-13T10:13:14

It's $125$ $125$ .

Explanation:

The reciprocal of $5$ $5$ is $\frac{1}{5}$ $1/5$ .

$\frac{1}{5}$ $1/5$ to the $- 3$ $-3$ power $=$ $=$ ${(\frac{1}{5})}^{- 3} = \frac{1}{{(\frac{1}{5})}^{3}} = \frac{1}{\frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}}$ $(1/5)^-3=1/(1/5)^3=1/(1/5*1/5*1/5$ $= \frac{1}{\frac{1}{125}} = 125$ $=1/(1/125)=125$

Answer 3 · 2017-06-13T15:23:58

The reciprocal is $125$ $125$

Explanation:

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

$5^{- 3} = \frac{1}{5^{3}} \leftarrow$ $5^-3 = 1/5^3" "larr$ law of indices: $x^{- m} = \frac{1}{x^{m}}$ $x^-m = 1/x^m$

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

Reciprocal of $2$ $2$ is $\frac{1}{2} and$ $1/2" and "$ Reciprocal of $\frac{3}{4}$ $3/4$ is $\frac{4}{3}$ $4/3$

Reciprocal of $- \frac{1}{4}$ $-1/4$ is $- 4 and$ $-4" and "$ Reciprocal of $\frac{a}{b}$ $a/b$ is $\frac{b}{a}$ $b/a$

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

Here we have $\frac{1}{5^{3}} = \frac{1}{125}$ $1/5^3 = 1/125$

The reciprocal is $\frac{125}{1} = 125$ $125/1 = 125$

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Question #d577e

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