Question

1/5- корень из 9/25 + (1/4)^-2

Answer 1

Корень из 9/25 равно 3/5
1/4 в степени -2 равно 16, т.к. отрицательная степень переворачивает число, а 4 в квадрате = 16
итак 1/5 -3/5 +16= 15,6
ответ: 15,6

Answer 2

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

1. 1/5 - square root of 9/25:

1/5 - √(9/25) = 1/5 - 3/5

To subtract fractions, they must have the same denominator. So, we find a common denominator, which is 5, and then subtract:

(1 - 3)/5 = -2/5

2. (1/4)^-2:

Recall that (a^b)^c = a^(b * c). Applying this to the given expression:

(1/4)^-2 = (1/4)^(2 * -1)

Since a number raised to a negative exponent is equal to 1 divided by that number raised to the positive exponent:

(1/4)^-2 = 4^2 = 16

Now, the expression becomes:

-2/5 + 16

To add these fractions, we need to find a common denominator, which is 5:

(-2/5) + (16 * 5/5) = (-2/5) + (80/5)

Now, the fractions have the same denominator, and we can add them:

-2/5 + 80/5 = 78/5

So the final result is 78/5.