Question

question
which expression is equivalent to ((6 cdot 6)^0)?
answer
(\bigcirc) 1 (\bigcirc) (\frac{1}{36}) (\bigcirc) 6 (\bigcirc) 0

Explanation:

Step1: Recall the zero - exponent rule

The zero - exponent rule states that for any non - zero real number \(a\), \(a^{0}=1\). First, we simplify the base of the exponent in the given expression \((6\cdot6)^{0}\).
Calculate \(6\cdot6 = 36\), so the expression becomes \(36^{0}\).

Step2: Apply the zero - exponent rule

Since \(36\) is a non - zero real number, by the zero - exponent rule \(a^{0}=1\) (where \(a = 36\)), we have \(36^{0}=1\).

Answer:

1 (corresponding to the option "1")