CHAPTER 6

Question 0

Index laws fractions?

Answer 0

(a/b)^m = a^m/b^m

Question 1

Index laws extended?

Answer 1

eg) (ab)^m = a^mb^m

eg) (3x^2)^3 = 3^3 (x^2)^3

Question 2

Zero index?

Answer 2

a^0 = 1

eg) 3x^0 = 3
eg) (3x)^0 = 1

Question 3

Index law for power of a power?

Answer 3

(a^m)^n - a^mn

Question 4

Index form?

Answer 4

eg) 2^3 = 2 x 2 x 2

Question 5

Index laws for multiplying?

Answer 5

a^m x a^n = a^m+n

Question 6

Index laws for dividing?

Answer 6

a^m/a^n = a^m-n

Question 7

Fractional Indices?

Answer 7

a^1/n = n|a

Question 8

Operations with surds?

Answer 8

|3 x |7 = |3 x 7 = |21

OR

|a/|b = |a/b

Question 9

Scientific notation?

Answer 9

eg) 2 350 000 kg = 2.35 x 10^6

eg) 0.000000016 s = 1.6 x 10^-8

Question 10

Negative Indices?

Answer 10

a^-m = 1/a^m

OR
1/a^-m = a^m