Questions tagged [exponent]

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5
votes
0answers
263 views

What books properly address the properties of $a^b$?

Many students think $\sqrt{a} \sqrt{b}=\sqrt{a\ b}$ $\sqrt{a^2}=a$ $\frac{1}{\sqrt{a}}=\sqrt{\frac{1}{a}}$ but none of the above are true when (a) and (b) are negative. To avoid such problems, ...
7
votes
1answer
119 views

Searching activities with “Find the error” strategy for learning maths

I read pages of the book "Elementary and Middle School Mathematics: Teaching Developmentally" by John A. Van de Walle, Late of Virginia Commonwealth University Karen S. Karp, Johns Hopkins University ...
8
votes
5answers
445 views

Exponents with Negative Base; with or without Parentheses

How can I convincingly and mathematically explain the reason behind difference between $(-1)^2$ and $-1^2$? I used to add "negation" to the order of operations, in the same row as multiplication and ...