Question

Barbara was solving the expression 6^6 / 9^6

Answer 1

(2/3)^6 or 64/729

Explanation:

Simplifying exponents.

We can simplify this expression by factoring the numerator and denominator into their prime factors.

6^6 can be written as (2 x 3)^6, which is equal to 2^6 x 3^6.

9^6 can be written as (3^2)^6, which is equal to 3^(2x6) or 3^12.

So, 6^6 / 9^6 can be written as:

(2^6 x 3^6) / 3^12

We can simplify this by canceling out common factors in the numerator and denominator:

Now, we can calculate this easily:

2^6 = 64 and 3^6 = 729

So, 6^6 / 9^6 = 64 / 729

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