Indices definition

Question 1

What is index notation?

10²

Answer 1

A number in index notation is made up of 2 parts, the base and index

Question 2

xⁿ * x^m = ?

Answer 2

x^{n + m}

for example

3² * 3⁴ = 3^{2 + 4}

= 3⁶

Question 3

xⁿ / x^m = ?

Answer 3

x^{n - m}

for example

3⁵ / 3³ = 3^{5 - 3}

= 3²

Question 4

(xⁿ)^m = ?

Answer 4

x^{n * m}

for example

(3⁵)³ = 3^{5 * 3}

= 3¹⁵

Question 5

x⁰ = ?

Answer 5

1

Why

3⁰ =3^{5 - 5} = 3⁵ / 3⁵ = 1

Question 6

x^-n = ?

Answer 6

1 / xⁿ

for example

3^-2 = 1 / 3²

= 1/9