Answer:
Yes
Step-by-step explanation:
The amount of money is doubled after 8 years. 48 years is equivalent to 6 periods of 8 years so the investment doubled its value a total of 6 times. That's why you have to multiply 6 times by 2, and the total amount in the investment account after 48 years would be then [tex] 1 * 2 * 2 * 2 * 2 * 2 * 2 = 2^6 [/tex] , as you correctly assume.