Question

select the answer that best completes the given statement.

if ( b
eq 0 ), then ( b^0 = )

Explanation:

Step1: Recall the zero - exponent rule

The zero - exponent rule states that for any non - zero real number \(b\), \(b^{0}=1\). This is derived from the quotient rule of exponents: \(b^{m}\div b^{n}=b^{m - n}\). If we let \(m = n\), then \(b^{m}\div b^{m}=b^{m - m}=b^{0}\). But \(b^{m}\div b^{m}=\frac{b^{m}}{b^{m}} = 1\) (as long as \(b
eq0\), because division by zero is undefined), so \(b^{0}=1\) when \(b
eq0\).

Answer:

\(1\)