One over X times one over X times one over X times one over X times one over X times one over X equals what simplify an exponential form with positive exponents only

1 answer

To simplify the expression \(\frac{1}{x} \times \frac{1}{x} \times \frac{1}{x} \times \frac{1}{x} \times \frac{1}{x} \times \frac{1}{x}\), we can rewrite this as:

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

Using the property of exponents that states \(\left(a^m\right)^n = a^{m \cdot n}\), we can simplify it further:

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

If we want to express this using positive exponents, we can rewrite it as:

\[ x^{-6} \]

Thus, the simplified form of the expression in exponential form with positive exponents is:

\[ \frac{1}{x^6} \quad \text{or} \quad x^{-6} \]