Properties of Exponents

Question 1

x^a * x^b

Answer 1

x^a+b, product of a power

Question 2

(x^a)/(x^b)

Answer 2

x^a-b, quotient of a power

Question 3

(x^a)^b

Answer 3

x^(a*b), power of a power

Question 4

(xy)^a

Answer 4

x^a * y^a, power of a product

Question 5

(x/y)^a

Answer 5

(x^a)/(y^a), power of a quotient

Question 6

(x)^0

Answer 6

1, zero exponent

Question 7

x^-n

Answer 7

1/x^n, negative exponent