Question

6.1 properties of exponents quiz

fill in the blank:

\
^{-7} = \frac{1}{n^{\\ }}\\

Explanation:

Identify the given equation

Using the Properties of Exponents knowledge point

$$ n^{-7} = \frac{1}{n^{\square}} $$

Apply the negative exponent rule

Using the Properties of Exponents knowledge point

$$ x^{-a} = \frac{1}{x^a} \quad (x eq 0) $$

Solve for the missing exponent

Using the Properties of Exponents knowledge point

$$ n^{-7} = \frac{1}{n^7} \implies \square = 7 $$

Answer:

Fill in the blank:

$$n^{-7} = \frac{1}{n^{\text{7}}}$$