Question

(0,5а^-2)^-2:(32а^5 в^2) ^3 при а=(0,5)^-4, в=0,25

Answer 1

Решение задания смотри на фотографии

Answer 2

To solve this expression, let's substitute the given values of a and b into the expression step by step:

Given values: a = (0.5)^(-4) = 2^4 = 16 b = 0.25

Expression: (0.5a^(-2))^(-2) : (32a^5b^2)^3

Step 1: Substitute the value of a and b (0.5(16)^(-2))^(-2) : (32(16)^5(0.25)^2)^3

Step 2: Simplify inside the parentheses (0.5 * 16^(-2))^(-2) : (32 * 16^5 * 0.25^2)^3

Step 3: Calculate the powers (0.5 * 1/16^2)^(-2) : (32 * 16^5 * 0.25^2)^3 (0.5 * 1/256)^(-2) : (32 * 1048576 * 0.0625)^3 (0.5 * 0.00390625)^(-2) : (32768 * 0.0625)^3 (0.001953125)^(-2) : 2048^3

Step 4: Calculate the powers (0.001953125)^(-2) : 8388608

Step 5: Calculate the expression (1 / 0.001953125^2) / 8388608 (1 / 0.003814697265625) / 8388608 262144 / 8388608 1 / 32 0.03125

So, the value of the expression is 0.03125.