Exponent Rules

Question 1

1 to any power

Answer 1

1

Question 2

0 to any power

Answer 2

0

Question 3

Fractions to any power

Answer 3

Distribute the power to numerator and denominator

Question 4

Compound Base

Answer 4

Distribute power to the product in the base

Question 5

-1 to the odd power

Answer 5

-1

Question 6

-1 to the even power

Answer 6

1

Question 7

Negative base

Answer 7

If negative is inside parentheses, the exponent distributes, if not, exponent does not apply to it

Question 8

Multiply when common bases

Answer 8

add exponents

Question 9

Divide when common bases

Answer 9

Subtract

Question 10

Anything raised to power of 0

Answer 10

1

exception is 0 to power of 0 - undefined

Question 11

Negative Exponent

Answer 11

1 / same thing with positive exponent

Reciprocal with positive exponent

Question 12

Nested Exponents (z^2)^3

Answer 12

Multiply Exponents

Question 13

Factoring out Common Term

Answer 13

If bases are the same and added or subtracted, you can factor out a common term

Question 14

Any even exponents with an equation with variables

Answer 14

Likely has two solutions (sign is hidden)

Question 15

Careful if 0,1 or -1 is the base with variables as

Answer 15

outcome of raising these bases to a power is not unique

Question 16

A square root (or any even root) has how many solutions

Answer 16

1 - the positive solution

Question 17

A root is equivalent to

Answer 17

Fractional Exponent

Question 18

Simplifying Roots

Answer 18

Only with multiplication or division - can split into separate factors or combine factors;

Cannot split by addition or subtraction - must first take care of the addition or subtraction and then solve