Question

Вычислить: "8^3*2^4 / 4^5 "

Answer 1

8^3*2^4 / 4^5 = (2³)^3* 2^4 / (2²)^2 = 2^9 * 2^4 / 2^10= 2^13/ 2^10 = 2^3 = 2*2*2= 8

Answer 2

To compute the expression "8^3 * 2^4 / 4^5," follow the order of operations (PEMDAS/BODMAS):

1. Perform the exponentiation operations (from left to right).
2. Perform the multiplication and division operations (from left to right).

Let's go step by step:

1. Calculate the exponentiations:

   • 8^3 = 8 * 8 * 8 = 512
   • 2^4 = 2 * 2 * 2 * 2 = 16
   • 4^5 = 4 * 4 * 4 * 4 * 4 = 1024

2. Substitute the exponentiation results into the expression: "512 * 16 / 1024"

3. Perform the multiplication and division operations:

   • 512 * 16 = 8192
   • 8192 / 1024 = 8

The final result is 8.