Laws Of Indices And Surds

Question 1

a^m x a^n =

Answer 1

a^m+n

If you multiply two numbers you multiply their powers

Question 2

a^m/a^n =

Answer 2

a^m-n

If you divide two numbers you subtract their powers

Question 3

(a^m)^n =

Answer 3

a^mn

If you have a power to the power of something else multiply the powers together

Question 4

a^1/m =

Answer 4

m=/a

=/ = root

You can write roots as powers.

Question 5

a^m/n =

Answer 5

n=/a^m

Question 6

n=/a^m =

Answer 6

(n=/a)^m

Question 7

a^-m =

Answer 7

1/a^m

Negative power means it’s on the bottom line of a fraction

Question 8

a^0 =

Answer 8

1

Question 9

Rules of surds

Answer 9

=/ab = =/a =/b

=/a/b = =/a / =/b

a = (=/a)2 = =/a =/a

Easy

=/ is a root

Question 10

When surds in bracket squared

Answer 10

(. )(. )

Same as with algebra….

(2=/5)^2 = 2^2 x =/5 x =/5

= 4 x 5

= 20

=/ = root

Question 11

Rationalising the denominator

Answer 11

Means getting rid of the surds from the bottom of a fraction

1 / 1 + =/2

Multiply top and bottom by denominator but change the sign in front of the surd

So : x fraction by 1 - =/2