Question

question
which expression is equivalent to $3^{-3} \times 3^{-3}$?
answer
$9^{-6}$ $3^{-6}$
$3^{9}$ $9^{9}$

Explanation:

Step1: Recall exponent rule for multiplication

When multiplying exponents with the same base, we add the exponents: \(a^m \times a^n = a^{m + n}\). Here, the base \(a = 3\), \(m=-3\), and \(n = -3\).

Step2: Apply the exponent rule

So, \(3^{-3} \times 3^{-3}=3^{-3 + (-3)} = 3^{-6}\).

Answer:

\(3^{-6}\) (the option with \(3^{-6}\))