Algebraic Number Prop. (8)

Question 1

Any number raised to an even exponent will be…

Answer 1

Positive. However, base could be +/-

Question 2

When a number or variable is raised to an odd exponent…

Answer 2

Result can be +/- depending on the base. Resulting sign is the same as sign of the variable

Question 3

When given a radical, they only want the…

Answer 3

Principal (positive) square root

Question 4

For odd roots of all real #’s…

Answer 4

There can be three answers…pos, neg, 0

Question 5

When a number b/t 0 and 1 is squared…

Answer 5

The result is smaller

Question 6

When a number b/t 0 and 1 has its square root taken…

Answer 6

The result is greater than the original number

Question 7

Absolute value…

Answer 7

Think two case solution.

Question 8

When solving absolute values…

Answer 8

Plug answers back into equation to ensure they aren’t extraneous.

Question 9

Two case method in solving absolute value…

Answer 9

Solve for case in which portion inside abs value is both negative and positive