Which expression is equivalent to 3, to the power minus 3 , times, 3, to the power minus 3 , question mark3

Question

−3
×3
−3
?
Answer
Multiple Choice Answers
9, to the power minus 69
−6

3, to the power minus 63
−6

3, to the power 93
9

9, to the power 99
9

Answer 1

To simplify the expression \(3^{-3} \times 3^{-3}\), we can use the property of exponents that states \(a^m \times a^n = a^{m+n}\).

Thus,

\[ 3^{-3} \times 3^{-3} = 3^{-3 + (-3)} = 3^{-6}. \]

Now, looking at the multiple choice answers, the equivalent expression for \(3^{-6}\) is:

Option: \(3^{-6}\).

So the correct answer is \(3^{-6}\).