Question

There are (4^3)^2 ⋅ 4^0 strawberries on a farm. What is the total number of strawberries on the farm?

Answer 1

`(4^(3))^(2) * 4^(0)`

4 to the 3rd power, all to the 2nd power, is equivalent to 4 to the 6th power because you multiply 3 and 2 together.

4 to the 0th power is equal to 1 since anything to the 0th power is equal to 1.

Multiply those two values together:

`4^(6) * 1` = 4 x 4 x 4 x 4 x 4 x 4 = 4096 strawberries