4: Exponential and Logarithmic Functions

Question 1

What is the law of exponent in multiplication?

a^m x aⁿ =

Answer 1

Multiplication = Addition

a^m x aⁿ = a^m+n

Question 2

What is the law of expontent in division?

a^m / aⁿ =

Answer 2

Divison = Subtraction

a^m / aⁿ = a^m-n

Question 3

What is the law of exponent when raising to a power?

(a^m)ⁿ =

Answer 3

Raising to a power = Multiplication

(a^m)ⁿ = a^{m x n}

Question 4

What is the law of exponent when the power zero?

a⁰ =

Answer 4

Any base raised to the power of zero is equal to 1.

a⁰ ​= 1

Question 5

What is the law of exponent in fractional exponents?

ⁿ√a^m =

Answer 5

( ⁿ√a)^m = (a^m) ^1/n = a ^m/n

Question 6

What is the exponential law for negative expontents?

a^-n =

Answer 6

= 1 / aⁿ