Question

Which expression is equivalent to 3^-3 x 3^-3 ?

1. 9^-6
2. 3^9
3. 3^-6
4. 9^9

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we can combine the exponents when multiplying like bases.

In this case, we have 3^-3 x 3^-3, which can be rewritten as (3 x 3)^-3.

This simplifies to 3^-6, which is equivalent to option 3.

Therefore, the correct answer is 3^-6.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression 3^-3 x 3^-3, we can first apply the rule of multiplying exponents with the same base. This rule states that when multiplying two numbers with the same base, we can add their exponents.

So, 3^-3 x 3^-3 is equivalent to 3^((-3)+(-3)).

(-3)+(-3) simplifies to -6, so the expression is now 3^-6.

Therefore, the correct answer is option 3. 3^-6.

Answer 3

[AI-generated answer — Explain Bot]

To solve this problem, you need to simplify the given expression by applying the rules of arithmetic with exponents.

The rule for multiplying two exponentials with the same base is to add their exponents. So, for 3^-3 x 3^-3, you add the exponents -3 and -3.

-3 + (-3) = -6

Now we have 3^-6.

Therefore, the expression 3^-3 x 3^-3 is equivalent to 3^-6.

The correct answer is option 3.