Question

1/2ba^3 8a 1/4b^2 c при a=4, b= -1/2 ; c= -1/4

Answer 1

½ ba³*8a ¼ b²*c =  a^4b³*c           при a=4, b= -1/2 ; c= -1/4

4^4*(-2)³*(-1/4)=   256*(-8)*(-1/4)  =  256*2=  512

Answer 2

To evaluate the expression 1/2ba^3 + 8a + 1/4b^2c with the given values for a, b, and c, simply substitute the values and perform the calculations step by step:

a = 4 b = -1/2 c = -1/4

1/2ba^3 + 8a + 1/4b^2c

Step 1: Calculate a^3 a^3 = 4^3 = 4 * 4 * 4 = 64

Step 2: Calculate b^2 b^2 = (-1/2)^2 = (-1/2) * (-1/2) = 1/4

Step 3: Calculate the first term: 1/2ba^3 1/2 * b * a^3 = 1/2 * (-1/2) * 64 = -1/2 * 64 = -32

Step 4: Calculate the third term: 1/4b^2c 1/4 * b^2 * c = 1/4 * (1/4) * (-1/4) = 1/16 * (-1/4) = -1/64

Now, add all the calculated terms together:

-32 + 8a - 1/64

Step 5: Substitute the values for a and simplify further: 8 * 4 = 32

Final result:

-32 + 32 - 1/64

Step 6: Combine like terms:

-32 + 32 = 0

Final answer:

0 - 1/64 = -1/64

So, the evaluated expression with a = 4, b = -1/2, and c = -1/4 is -1/64.