Question

6.1 properties of exponents quiz

fill in the blank:

\\(k^{\square} = 1\\)

Explanation:

Identify the given equation

We are given a fill-in-the-blank equation from a quiz on the properties of exponents:

$$ k^{\square} = 1 $$

where \( k
eq 0 \).

Apply the zero exponent rule

The zero exponent rule states that any non-zero base raised to the power of \(0\) is equal to \(1\):

$$ a^0 = 1 \quad (\text{for } a eq 0) $$

Determine the missing value

By comparing \( k^{\square} = 1 \) with the rule \( k^0 = 1 \), the value that must fill the exponent box is \( 0 \).

Answer:

Fill in the blank:
\( k^{\text{0}} = 1 \)