Respuesta :
To solve the given expression, we can simplify the numbers raised to the exponents and then perform the arithmetic.
Starting with the exponentiation:
(2^3)^5 = 2^(3*5) = 2^15
8^2 = 64
4^3 = 64
6^3 = 216
Now, substitute these values into the expression:
(2^15 * 64) / (64 * 216)
Now, calculate the value:
(32768 * 64) / (64 * 216)
= 2097152 / 13824
= 152
So, the value of the given expression is 152.
Answer:
151.703703704
Step-by-step explanation:
Step 1: Simplificaion
(2^3)^5 = 2^15
8^2 = (2^3)^2 = 2^6
4^3 = (2^2)^3 = 2^6
6^3 = (2x3)^3 = 2^3 x 3^3
Step 2: Substitution
(2^3)^5 * 8^2 2^15 x 2^6
_________ = ____________ = 2^12/3^3
4^3 * 6^3 2^6 x 2^3 x 3^3
2^12 = 4096
3^3 = 27
2^12/3^3 = 4096/27 = 151.703703703703703703703703...
(Approx)151.703703704
