Question

N^3 = n? × n^-3 What is the substitute for the question mark?

Answer 1

You have the expression

$n^3=n^{?}\cdot n^{-3}$

and want to find ?.

First, note the property

$n^m\cdot n^k=n^{m+k}.$

Using this property, you can write

$n^{?}\cdot n^{-3}=n^{?+(-3)}=n^{?-3}.$

If

$n^3=n^{?-3},$

then

$3=?-3,\\ \\?-3=3,\\ \\?=3+3,\\ \\?=6.$

Answer: 6.