Question

The teacher marked Silvano's problem wrong on his test.

(4^5)^4

Explain what he did wrong and give the correct answer.

Answer 1

I͟ h͟a͟v͟e͟ n͟o͟ i͟d͟e͟a͟ w͟h͟a͟t͟ h͟e͟ d͟i͟d͟ w͟r͟o͟n͟g͟ b͟e͟c͟a͟u͟s͟e͟ I͟ d͟o͟n͟'t͟ k͟n͟o͟w͟ t͟h͟e͟ o͟r͟i͟g͟i͟n͟a͟l͟ p͟r͟o͟b͟l͟e͟m͟.
B͟u͟t͟, f͟r͟o͟m͟ w͟h͟a͟t͟ I͟ c͟a͟n͟ s͟e͟e͟,

(4^5)^4= 4^5•4

=>4^20

W͟o͟u͟l͟d͟ b͟e͟ t͟h͟e͟ c͟o͟r͟r͟e͟c͟t͟ a͟n͟s͟w͟e͟r͟.

N͟o͟w͟, I͟ c͟a͟n͟ s͟e͟e͟ S͟i͟l͟v͟a͟n͟o͟ d͟o͟i͟n͟g͟ t͟h͟i͟s,

(4^5)^4=4^5+4

=>4^9

B͟u͟t͟, w͟h͟e͟n͟ a͟ p͟r͟o͟b͟l͟e͟m͟ i͟s͟ p͟u͟t͟ i͟n͟ p͟a͟r͟e͟n͟t͟h͟e͟s͟e͟s͟,
t͟h͟e͟n͟ r͟a͟i͟s͟e͟d͟ t͟o͟ t͟h͟e͟͟ p͟o͟w͟e͟r͟ o͟f͟ a͟ n͟u͟m͟b͟e͟r͟,
M͟U͟L͟T͟I͟P͟L͟Y͟ t͟h͟e͟ e͟x͟p͟o͟n͟e͟n͟t͟s͟ t͟o͟g͟e͟t͟h͟e͟r͟.