Question

1/x*1/x*1/x*1/x*1/x*1/x Fully simplify and write your answer in exponential form with positive exponents only.

Answer 1

To simplify the expression \( \frac{1}{x} \cdot \frac{1}{x} \cdot \frac{1}{x} \cdot \frac{1}{x} \cdot \frac{1}{x} \cdot \frac{1}{x} \), we can rewrite it as follows:

\[
\left(\frac{1}{x}\right)^6
\]

This expression can be simplified using the property of exponents, which states that \( \frac{1}{a^n} = a^{-n} \). Thus,

\[
\left(\frac{1}{x}\right)^6 = x^{-6}
\]

To express this with positive exponents, we can write:

\[
x^{-6} = \frac{1}{x^6}
\]

So, the fully simplified expression in exponential form with positive exponents is:

\[
\frac{1}{x^6}
\]