Indices and surds

Question 1

Simplify the following expressions
1.) a^m x a^n
2.) a^m ÷ a^n
3.) (a^m)^n
4.) a^0
5.) a^-n
6.)a^m/n
7.)a^n x b^n
8.) a^n ÷ b^n

Answer 1

1.) a^m+n
2.) a^m-n
3.) a^mn
4.) 1
5.) 1/a^n
6.) nthroot(a^m)
7.) (ab)^n
8.) (a/b)^n

Question 2

When solving equations with exponenitals in different bases, e.g. 2^x x 8^x-1 = 1/4^2x. What shoudl be the first action you do?

Answer 2

Put all exponentials into the same base

Question 3

What is a surd

Answer 3

a number that can only be expressed in terms of roots

Question 4

Do the laws of indices apply to surds? True or False

Answer 4

True

Question 5

What is the objective of rationalising the denominator?

Answer 5

To remove a root off the denominator of an fraction