Question

semester i exam (firm due date jan.16th)
started: jan 16 at 10:29pm
quiz instructions
question 44
1 pts
why does $y^0 = 1$
$y^0 = 1$ because $y^1$ divided by $y = 1$
$y^0 = 1$ because $y^1$ multiplied by $y = 1$
$y^0 = 1$ because $y^1$ divided by $y = 1$
$y^0 = 1$ because $y^1$ multiplied by $y = 1$

Explanation:

Step1: Recall exponent division rule

For non-zero \(y\), \(\frac{y^a}{y^b}=y^{a-b}\)

Step2: Set \(a=1, b=1\)

\(\frac{y^1}{y^1}=y^{1-1}=y^0\)

Step3: Simplify the fraction

\(\frac{y^1}{y^1}=1\), so \(y^0=1\)

Answer:

\(y^0 = 1\) because \(y^1\) divided by \(y = 1\).