Question

What is the total number of horses on the stud farm, given the expression (4^2)^3 ⋅ 4^0?

A) 0
B) 46
C) 47
D) 424

Answer 1

To solve the expression (4^2)^3 · 4^0, you raise 4^2 to the third power to get 4096 and multiply by 4^0 (which is 1) to maintain the number. Therefore, the total number of horses is 4096, option D.

Step-by-step explanation:

To find the total number of horses on the stud farm based on the given expression, we need to evaluate the expression (4^2)^3 · 4^0. First, we address the exponent 4^2, which means 4 multiplied by itself, resulting in 16. We then raise 16 to the third power, which means multiplying 16 by itself three times: 16 × 16 × 16, which equals 4096. Lastly, any number to the zero power, including 4^0, is always 1.

When we multiply 4096 by 1, the result does not change, so the total number of horses on the stud farm is 4096.