Select the equivalent expression.


(3673)5=?
Choose 1 answer:
Choose 1 answer:
(Choice A)

715330
A

715330
(Choice B)

73330
B

73330
(Choice C)

315730
C

315730

1 answer

To simplify the expression (3673)5, we will follow these steps:

  1. Simplify the inner fraction: 3673=3673=7336.

  2. Now raise the fraction to the power of 5: (7336)5=(73)5(36)5.

  3. Apply the power rule (am)n=amn: (73)5=715and(36)5=330.

  4. Therefore, the expression becomes: 715330.

Now, let's compare this expression with the given choices:

  • (Choice A): 715330
  • (Choice B): 73330
  • (Choice C): 315730

Since we have determined that the simplified expression is 715330, the equivalent expression is:

Choice A: 715330.