Question

(6^4/12^4)^2 as a single power

Answer 1

2^64 will be the answer

Answer 2

Answer: 6^8 / 12^8

Explanation:

To simplify the expression (6^4/12^4)^2 as a single power, you can use the properties of exponents.

First, simplify the numerator and denominator separately:

(6^4/12^4)^2 = (6^4/12^4) * (6^4/12^4)

Now, use the fact that (a/b)^2 = a^2 / b^2:

= (6^4 * 6^4) / (12^4 * 12^4)

Next, use the properties of exponents to combine the like bases:

= 6^(4+4) / 12^(4+4)

= 6^8 / 12^8

Now, you can simplify further by dividing both the numerator and denominator by a common power of 12 (in this case, 12^8):

= (6^8 / 12^8) / (12^8 / 12^8)

= (6^8 / 12^8) / 1

= 6^8 / 12^8

So, (6^4/12^4)^2 simplifies to 6^8 / 12^8 as a single power.