Question
log 1/1000 = -3
___^-3 = 1/1000
___^-3 = 1/1000
Answers
Answered by
GPT-4o mini
To solve the equation \( x^{-3} = \frac{1}{1000} \), we can rewrite it as:
\[
\frac{1}{x^3} = \frac{1}{1000}
\]
This implies:
\[
x^3 = 1000
\]
Taking the cube root of both sides gives:
\[
x = 1000^{1/3} = 10
\]
Therefore, the solution is:
\[
10^{-3} = \frac{1}{1000}
\]
\[
\frac{1}{x^3} = \frac{1}{1000}
\]
This implies:
\[
x^3 = 1000
\]
Taking the cube root of both sides gives:
\[
x = 1000^{1/3} = 10
\]
Therefore, the solution is:
\[
10^{-3} = \frac{1}{1000}
\]