Question

Margaret and Kevin both have to write an expression that is equivalent to 6 to the power of -4. Part A Who is correct? Part B What is a possible error made by the incorrect student?
Margaret writes 6 x (1/6 to the power of 5)
Kevin writes 1/6 x (6 to the power of 4)
Please help

Answer 1

Answer:

Margret is correct, Kevin is wrong.

Step-by-step explanation:

6^-4 can be written as (1/6)^4

By taking (1/6)^5 times you have (1/6)(1/6)(1/6)(1/6)(1/6), multiplying by 6 would cancel one of those (1/6ths) out. Meaning you would be left with (1/6)^4 or 6^-4

Kevin is wrong because taking 6^4 would not be the same as 6^-4, 6^4= 1296, multiplying that by 1/6 would not give you the same value as 6^-4. His mistake was that he did not take the reciprocal of 6^-4 and incorrectly removed a negative.

Hope this helps, for more assistance please check out: http://linktr.ee/x.squared/