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POWER REVISION
 A power is a short way to express the multiplication
of a number by itself several times.


               9+9+9+9+9+9=9·6=54


               9·9·9·9·9·9=96=531,441
HOW TO READ POWERS...



                                 INDEX
 BASE
                 14 4
        Fourteen to the power four
SPECIAL CASES

  7 2                  7 3

SEVEN SQUARED      SEVEN CUBED




 a0=1           a1=a
CALCULATION WITH INDICES
Remember the order of the operations:
B rackets                               6 + (4-2) · 22 =
I ndices                                =6 + (2) · 22 =
                                        =6 + (2) · 4=
D ivisions
                                        =6 + 8 =
M ultiplications                        =13
A dditions
S ubtractions
LAWS OF INDICES
•   Multiplication of powers with the same base:
62 · 65= 6 · 6 · 6 · 6 · 6 · 6 · 6= 62+5=67

•   Division of power with the same base:
35 · 33 = 3 · 3 · 3 · 3 · 3 · 3 · 3 · 3 = 35-3=32

•   Power of a power:
(23)4= (2·2·2)4 = (2·2·2) · (2·2·2) · (2·2·2) · (2·2·2)=
=23·4= 212
SQUARE ROOTS
Taking the square root is the opposite of squaring.
Sacar la raíz cuadrada es el contrario de elevar al cuadrado.

              √121=11, because 112 = 121


The square root of 121 is 11 because 11 squared is 121.
La raíz cuadrada de 121 es 11 porque 11 al cuadrado es 121.
SQUARE NUMBERS
are numbers that result from squaring another number.


1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 , 121 , 144...

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Powers and square roots- Trabajo de Matemáticas

  • 1.
  • 2. POWER REVISION A power is a short way to express the multiplication of a number by itself several times. 9+9+9+9+9+9=9·6=54 9·9·9·9·9·9=96=531,441
  • 3. HOW TO READ POWERS... INDEX BASE 14 4 Fourteen to the power four
  • 4. SPECIAL CASES 7 2 7 3 SEVEN SQUARED SEVEN CUBED a0=1 a1=a
  • 5. CALCULATION WITH INDICES Remember the order of the operations: B rackets 6 + (4-2) · 22 = I ndices =6 + (2) · 22 = =6 + (2) · 4= D ivisions =6 + 8 = M ultiplications =13 A dditions S ubtractions
  • 6. LAWS OF INDICES • Multiplication of powers with the same base: 62 · 65= 6 · 6 · 6 · 6 · 6 · 6 · 6= 62+5=67 • Division of power with the same base: 35 · 33 = 3 · 3 · 3 · 3 · 3 · 3 · 3 · 3 = 35-3=32 • Power of a power: (23)4= (2·2·2)4 = (2·2·2) · (2·2·2) · (2·2·2) · (2·2·2)= =23·4= 212
  • 7. SQUARE ROOTS Taking the square root is the opposite of squaring. Sacar la raíz cuadrada es el contrario de elevar al cuadrado. √121=11, because 112 = 121 The square root of 121 is 11 because 11 squared is 121. La raíz cuadrada de 121 es 11 porque 11 al cuadrado es 121.
  • 8. SQUARE NUMBERS are numbers that result from squaring another number. 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 , 121 , 144...