Question

(6^4*(6*2^2)^3):(4^3*6^6) срооочноо

Answer 1

=6^4*6^3*2^5 6^4*6^3*2^5 6^7

––––––––– = –––––––– = –– =6

(2^2)^3*6^6 2^5*6^6 6^6

Answer 2

To simplify 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 simplify the expression step by step:

Step 1: Simplify within the parentheses (6 * 2^2) = (6 * 4) = 24

Step 2: Simplify the exponents 6^4 = 6 * 6 * 6 * 6 = 1296 24^3 = 24 * 24 * 24 = 13824 4^3 = 4 * 4 * 4 = 64 6^6 = 6 * 6 * 6 * 6 * 6 * 6 = 46656

Step 3: Divide the results (1296 * 13824) / (64 * 46656)

Step 4: Perform the division (17915904) / (2985984)

Step 5: Final division 6.00027 (rounded to five decimal places)

Therefore, the simplified value of the expression is approximately 6.00027.