Question

Как найти значение дроби 81 в 16 степени/16 в 12 степени?

Answer 1

8^16/2*8^12=1/2*8^16/8^12=1/2*8^4=1/2*4096=2048

Answer 2

Finding the Value of the Fraction 81 to the Power of 16 Divided by 16 to the Power of 12

To find the value of the fraction 81 to the power of 16 divided by 16 to the power of 12, we can simplify the expression using exponent rules.

The expression can be written as (81^16) / (16^12).

To simplify this expression, we can break down each number into its prime factors and cancel out common factors.

Let's start by breaking down 81 and 16 into their prime factors:

- 81 = 3^4 - 16 = 2^4

Now, let's substitute these prime factorizations into the expression:

(3^4)^16 / (2^4)^12

Using the exponent rule for raising a power to a power, we can simplify further:

3^(4*16) / 2^(4*12)

Simplifying the exponents:

3^64 / 2^48

Now, we have the expression in a simplified form. However, calculating the exact value of this expression would require a calculator or computer program due to the large exponents involved.

Unfortunately, I couldn't find a specific value for this expression in the search results provided. The search results mainly contained unrelated information or snippets that didn't provide the answer to the specific question.

If you need the exact value of this expression, I would recommend using a calculator or a computer program capable of handling large numbers and exponents.

Please let me know if there's anything else I can help you with!