Question #d577e

3 Answers

Answer:

#1 / (1/125)#.

Explanation:

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

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

Jun 13, 2017

Answer:

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#

Jun 13, 2017

Answer:

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#