Question

Money that is collecting interest in a bank account doubles in value every 8 years When the account was opened, it had 8 or 2 ^ 3 dollars in it. After 32 years, the account balance has doubled 4 times, increasing by a factor of 2 ^ 4 It now has a balance of 2 ^ 3 * 2 ^ 4 Expressed as a power, how much money, in dollars, is in the account after 32 years?
A. 4^7
B.2^12
C.2^4
D.2^7

Answer 1

Answer:

the answer should be d

Answer 2

Expressed as an exponent, $2^{7}$ dollars is in the account after 32 years.

How to multiply exponents?

According to the exponent rule for multiplication with the same base, we simply add the powers.

$X^{n} *x^{m} = x^{n+m}$

$2^{3} *2^{4} = 2^{3+4} = 2^{7}$

Learn more about multiplying exponents here

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