Block Two

Question 1

How do you multiply indices

Answer 1

Add the powers

Question 2

How do you divide the indices

Answer 2

subtract the powers

Question 3

How to solve multiplication and division of indices

Answer 3

• simplify numerator and denominator individually e.g add the powers on each line
• then treat like a normal indices division
  e.g subtract the powers

Question 4

How do you raise a power to power

Answer 4

multiply the powers of in a bracket
e.g (am)n = a*mn

Question 5

What do you do if you have a negitive power

Answer 5

you make it positive by moving the tern from the numerator to the denominator or vice versa

Question 6

How do you deal with fractional indices

Answer 6

the denominator of the power represents a root and the numerator of the fraction represents a power

Question 7

how do you evaluate a fractional indices

Answer 7

• write the index in positve root form
• evaluate the root and the power of needed usally in the order

Question 8

What is an indices

Answer 8

a power

Question 9

How do you complete the square

Answer 9

this is when you take a trinomios expression and make it into a perfect square expression with a value added or subtracted
e.g (x+1)*2 +3

Question 10

How to factorise

Answer 10

You need to find two numbers that add to give you one term and times to give you another term
e.g x*3 +3x + 2
= (x+1) (x+2)

Question 11

What is a surd

Answer 11

a square root that you can’t write exactly as a whole number or a fraction.

Question 12

How do you simplify a surd

Answer 12

• to simplify a surd split it into two roots that multiply to make the number
• one of these should be a square root you know the value of - the biggest possible one -

Question 13

How do you multiply a surd

Answer 13

• combine into a single surd and then you can simplify this
  e.g /2 x /10 = /20
  /20 = /4 /5
  = 2 /5

Question 14

How do you divide surds

Answer 14

remember to divide any whole number separately
- simplyfy surds
- cancel anything out

Question 15

Adding and subtracting surds

Answer 15

• fully simply all surds
• add or take away any multiples of the same surd

Question 16

how do you rationalise the denominator of a fraction

Answer 16

you must times your fraction by a fraction of the same roots as the denominator to cancel them out

1/ (/3) x (/3) / (/3)
= (/3)/3