Powers and roots

HideShow resource information
  • Created by: connor27
  • Created on: 29-11-15 20:15
View mindmap
  • Powers and roots
    • Rule 1: When multiplying, you add the powers.
      • e.g. 3 to the power of 4 x 3 to the power of 6 = 3 to the power of 10.
    • Rule 2: When dividing, you subtract the powers.
      • e.g. 5 to the power of 4 divided by 5 to the power of 2 = 5 to the power of 2.
    • Rule 3: When raising one power to another, you multiply them.
      • e.g. (3 to the power of 2) to the power of 4 = 3 to the power of 8
    • Rule 4: Anything to the power of 1 is itself.
      • e.g. 3 to the power of 1 = 3
    • Rule 5: Anything to the power of 0 = 1.
      • e.g. 5 to the power of 0 = 1.
    • Rule 6: 1 to any power is just 1.
      • e.g. 1 to the power of 23 = 1.
    • Rule 7: With fractions apply the power to both the bottom and top
      • e.g. (1 3/5) to the power of 3 = (8/5) to the power of 3 = 8 to the power of 3/5 to the power of 3 = 512/125.
    • Rule 8: When the power is negative you need to turn it the other way up.
      • e.g. 7 to the power of -2 = 1/7 to the power of 2 = 1/49
    • Rule 9: The power 1/2 means square root, the power 1/3 means cube root and the power 1/4 means fourth root etc.
      • e.g. 64 to the power of 1/3 = cube root 64 = 4.
      • Remember, if the fractional power is negative it needs to be flipped.
    • Rule 10: With fractional powers like 64 to the power of 5/6, always split the fraction into root and power.
      • e.g. 64 to the power of 5/6 = (64)to the power of 1/6 x 5 = (2) to the power of 5 = 32.

Comments

No comments have yet been made

Similar Mathematics resources:

See all Mathematics resources »See all Power and roots resources »