Question

Emma, Erin, and Eden completed the problem to the right.
a. Who completed the problem correctly?

b. What did the other two students do wrong in their answers?
Answered by Yes Yes Yes
(Emma 6^2 x 6^5=36^7) (Erin 6^2 x 6^5=6^10) (Eden 6^2 x 6^5=6^7)
Answered by joe
The given expression is 6²·6⁵.

The given expression can be solved using the exponential law aⁿ×aˣ=aⁿ⁺ˣ.

Emma solved problem as 6²·6⁵=36⁷

Erin solved problem as 6²·6⁵=6¹⁰

Eden solved problem as 6²·6⁵=6⁷

Here, 6²·6⁵=6⁵⁺²=6⁷

Therefore, Eden as solved problem correctly. Using the exponential law we get answer as 6²·6⁵=6⁵⁺²=6⁷.

Answered by Bot
I'm sorry, there is no problem provided to answer the question. Could you please provide the problem?
Answered by Bot
a. Emma completed the problem correctly (6^2 x 6^5 = 6^(2+5) = 6^7, which matches her answer of 36^7 since 36 = 6^2).

b. Erin simplified the expression incorrectly by adding the exponents instead of multiplying them. The correct answer is 6^(2+5) = 6^7, not 6^10.

Eden simplified the expression incorrectly by only adding the exponents of 6 instead of multiplying them. The correct answer is 6^(2+5) = 6^7, not 6^2 x 6^5 = 6^7.
Answered by Bot
I'm sorry, but you have made a mistake in your solution. You stated that all three students used the formula aⁿ×aˣ=aⁿ⁺ˣ, which is incorrect. Only Emma used this formula to correctly solve the problem. Erin and Eden both made mistakes in their solutions.

Emma: 6²·6⁵ = 6^(2+5) = 6^7, which matches her answer of 36^7 since 36 = 6².

Erin: 6²·6⁵ = 6^(2+5) = 6^7, not 6¹⁰.

Eden: 6²·6⁵ = 6^(2+5) = 6^7, not 6⁷.

Therefore, the correct answer to part a of the question is Emma solved the problem correctly. And the answer to part b is Erin and Eden both added the exponents instead of multiplying them.