Question

(0.25)^-1+(1*2/3)^-2 + 3.45

Answer 1

Ответ: (0, 25)^- 1 + (1*2/3)^-2 + 3,45 =

(1/4)^-1 + (5/3)^-2 + 3,45 = 4 + 45 + 3,45 = 52,45

либо

(1/4)^-1 + (2/3)^-2 + 3,45 = 4 + 18 + 3,45 = 25,45

Answer 2

To solve the expression, let's break it down step by step:

1. (0.25)^-1: This means taking the reciprocal of 0.25. The reciprocal of a number x is 1/x. So, the reciprocal of 0.25 is 1/0.25, which equals 4.

2. (1*2/3)^-2: Let's simplify the expression inside the parentheses first. 1 multiplied by 2 gives us 2, and dividing 2 by 3 gives us 2/3. Now we have (2/3)^-2. To raise a fraction to a negative power, we can invert the fraction and raise it to the positive power. In this case, (2/3)^-2 is equivalent to (3/2)^2. Squaring a fraction means multiplying it by itself, so (3/2)^2 is (3/2) * (3/2) = 9/4.

3. Finally, adding 3.45 to the previous result, 9/4, we get: 3.45 + 9/4

To add these two numbers, we need a common denominator. The denominator of 3.45 is 1, so we can multiply both the numerator and denominator of 3.45 by 4 to get a common denominator:

3.45 * (4/4) + 9/4

This becomes: (3.45 * 4 + 9) / 4

Now we can compute the numerator: 3.45 * 4 = 13.8

Putting it all together: (13.8 + 9) / 4 = 22.8 / 4 = 5.7

Therefore, the result of the expression (0.25)^-1 + (1*2/3)^-2 + 3.45 is 5.7.