Question

Вычислите 64^2*4^7/16^6

Answer 1

(2^6)^2*(2^2)^7 / (2^4)^6=2^12*2^14 / 2^24= 2^26 / 2^24=2^2=4.

Ответ: 4.

Answer 2

To compute the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's apply these steps to the given expression:

64^2 * 4^7 / 16^6

Step 1: Exponents/Orders 64^2 = 64 * 64 = 4096 4^7 = 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16384 16^6 = 16 * 16 * 16 * 16 * 16 * 16 = 16777216

Step 2: Multiplication and Division (from left to right) 4096 * 16384 / 16777216

Step 3: Perform the operations Multiplication: 4096 * 16384 = 67108864 Division: 67108864 / 16777216 = 4

Therefore, the result of the expression is 4.