Lecture 3: Properties of Exponents

Question 1

properties of exponents

Answer 1

• for non zero real numbers a and b

Question 2

example (a/b)^-n = (b/a)^n

Answer 2

(5/4)^-3 = (1/(5/4))^3 = (4/5)^3

Question 3

roots

Answer 3

square roots of a non negative real number a is a number b such that b^2=a
4 is a square root 16 since 4 square is 16
-4 is square root 16 since (-4)^2

Question 4

square root

Answer 4

SQRT(a) = a^(1/2)

Question 5

cubed root

Answer 5

cube root cusqrt of a real number a is a number a such that b^3 =a

Question 6

square root for other numbers

Answer 6

• n srt(a) = a^(1/n)
  similarly if x is a variable then n sort (x) = x^(1/n)