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?

5 answers

I'm sorry, there is no problem provided to answer the question. Could you please provide the problem?
(Emma 6^2 x 6^5=36^7) (Erin 6^2 x 6^5=6^10) (Eden 6^2 x 6^5=6^7)
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.
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.
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.
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