Ch. 1.7 | Exponents

Question 1

Base

Answer 1

For x ∈ ℕ, b^x is the product of (x) factors of (b)

The repeated factor, (b), is the base.

Question 2

Exponent

Answer 2

For x ∈ ℕ, b^x is the product of (x) factors of (b)

(x), indicates the number of times (b) is used as a factor.

Question 3

Exponential form

Answer 3

b^x (or exponential notation) when numbers are written in this form

Question 4

Exponential notation

Answer 4

b^x (or exponential form) when numbers are written in this form

Question 5

Negative exponent

Answer 5

For any nonzero number (x) and integer (a), x^-a = 1/(x^a).

Question 6

Power Property of Exponents

Answer 6

(x^a)^b = x^ab

To raise a power to a power, multiply the exponents.

Question 7

Product Property of Exponents

Answer 7

x^a ∙ x^b = x^(a+b)

To multiply like bases, add the exponents.

Question 8

Quotient Property of Exponents

Answer 8

(x^a)/(x^b) = x^(a-b) for x ≠ 0

To divide like bases, subtract the exponents.

Question 9

Zero Power

Answer 9

Any nonzero number to the “zero power” equals 1

That is, when x ≠ 0, x^0 = 1.