maths

• $n^A$x $n^b$= $n^a+$$b$
• 7^2 x 7^3 =

  7^5
• n^a / n^b

  n^a-b
• (n^a)^b

  n^ab
• the b root of n to the power of a

  n ^a/b
• cube root of 2 to the power of 6

  2^2
• n^1

  n
• n^0

  1
• n^-1

  1/n
• 3^-2

  1/9
• x^3 X x^4

  x^7
• 2x^3 X 3x^2

  6x^5
• k^3/k^2

  k
• 4p^3/2p

  2p^2
• 3x^3/3x^2

  1
• (y^2)^5

  y^10
• 10x^5 / 2x^3

  5x^2
• (p^3)^2 / p^4

  p^2
• (2a^2)^3 / 2a^3

  2a^3
• 8p^4 / 4p^3

  2p
• 2a^4 x 3a^5

  6a^9
• 21a^3b^7/ 7ab^4

  3a^2b^3
• root of a x root of b

  root of axb
• root of a/ root of b

  root of a/b
• root of 9 x root of 7

  root of 63
• root of 100/ root of 4

  root of 25
• a lots of root n + b lots of root n =

  (a+b) lots of root of n
• 3 lots of root 7 + 2 lots of root 7

  5 lots of root 7
• rationalize 33/ root 11

  33/ root 11 x root 11/root 11 = 33 lots of root 11/ 11
• rationalize 2/ (root 3 +1)

  2/(root 3 +1) x (root 3 -1)/(root 3 -1) = 2 lots of root 3 -2/ 2=

  root 3 -1
• expand 2(3x+1)

  6x+2
• expand x(4x+y)

  $4x^2 +$$yx$
• expand (5x+2)(9x-3)

  $45x^2 +$$3x- 6$
• expand (x lots of root 7+5)^2

  (x lots of root 7+5)(x lots of root 7+5)

  7x^2 +5x lots of root 7 +5x lots of root 7 +25

  7x^2 + 10x loots of root 7 +25
• expand (x+1)(x+2)(x+3)


  (x+1)(x+2)(x+3)

  (x^2 + 3x + 2)(X+ 3)

  x^3 +6 x^ 2+ 11 x+ 6
• factorize x squared -2x-24

  (x- 6)(x+4)
• factorize 3x squared - 12x - 15=0

  (3x+3 )(x- 5)= 0

  45 and annd to make 12. 1 and 45, 3 and 15

  x = -1 and +5
• discriminant equation

  b^2 -4ac
• use the discriminant on x squared - 2x - 24

  b^2-4ac

  has 2 roots
• when using dicriminant. when x<0

  no roots