Question

вычислите 2∧-2；10∧-4；(2/3)∧-3；4*(1/2)∧-1；16∧2*2∧-6；((1 1/3)∧-1-2∧-2)∧-3；(0.1)∧-1-(0.4)∧0/2 2/3*(2/3)∧-3+(-1/3)∧-1​

Answer 1

2^-2=1/4 или же 0,25
10^-4=0,0001
(2/3)^-3= 27/8 или 3 целых 3/8
4*(1/2)^-1 =8
16^2*2^-6 = 4
((1 1/3)^-1-2^-2)^-3= (4/11)3
(0.1)^-1-(0.4)^0/2=4.5 ( если все делить на 2, а если нет то будет 9) или если не все делить а только (0.4)^0, то 9.5 ответ
2/3*(2/3)^-3+(-1/3)^-1= -3/4 или же -0,75

Answer 2

To calculate these expressions, let's simplify them step by step:

1. 2∧-2 2∧-2 is the same as 1/(2^2) = 1/4.

2. 10∧-4 10∧-4 is the same as 1/(10^4) = 1/10000.

3. (2/3)∧-3 (2/3)∧-3 is the same as (3/2)^3 = 27/8.

4. 4*(1/2)∧-1 (1/2)∧-1 is the same as 2, so 4*(1/2)∧-1 = 4*2 = 8.

5. 16∧2*2∧-6 16∧2 is 16^2 = 256. 2∧-6 is the same as 1/(2^6) = 1/64.

So, 16∧2*2∧-6 = 256 * (1/64) = 4.

6. ((1 1/3)∧-1-2∧-2)∧-3 Convert 1 1/3 to an improper fraction: (4/3)∧-1 2∧-2 is the same as 1/(2^2) = 1/4.

Now the expression becomes ((4/3)^-1 - 1/4)^-3 Simplify ((4/3)^-1 - 1/4) = (3/4 - 1/4) = 2/4 = 1/2.

Now the expression becomes (1/2)^-3 = 2^3 = 8.

7. (0.1)∧-1 - (0.4)∧0 / 2 2/3*(2/3)∧-3 + (-1/3)∧-1 (0.1)∧-1 is the same as 1/(0.1) = 10. (0.4)∧0 is the same as 1. (2/3)∧-3 is the same as (3/2)^3 = 27/8. (-1/3)∧-1 is the same as (3/-1) = -3.

Now the expression becomes 10 - 1 / 2 2/3 * 27/8 + (-3) Simplify 10 - 1 = 9.

Now the expression becomes 9 / 2 2/3 * 27/8 + (-3)

Convert 2 2/3 to an improper fraction: 8/3. Now the expression becomes 9 / (8/3) * 27/8 + (-3)

Simplify 9 / (8/3) = 9 * 3/8 = 27/8. Now the expression becomes 27/8 * 27/8 + (-3) = (2727)/(88) - 3 = 729/64 - 3.

Find a common denominator, which is 64. Now the expression becomes (729 - 192)/64 = 537/64.

So, the final result is 537/64.