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.

1 answer

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:

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