Question

3^*3^-2/(3^6)^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression 3^*3^-2/(3^6)^2, we start by simplifying the exponents within the parentheses:

3^6 = 729

Now, we simplify the expression further:

3^*3^-2/729^2

3^ (n) * 3^(m) = 3^(n+m)

Using this property, we combine the exponents:

3^(-2 + 6*2)

3^(-2 + 12)

3^10

Therefore, the simplified expression is 3^10.