Indices 1

Index laws

• Indices include square roots, cube roots and powers
• You can use the index laws to simplify powers and roots
  • A(m) x A(n) = A(m+n)
  • A(m)/A(n)=A(m-n)
  • (Am)n=A(mn)

Cube root

• The cube root of a positive number is positive
  • 4(3)=64
• The cube root is a negative number is negative
  • (-4)3=-64

Powers of 0 and 1

• Anything raised to the power 0 is equal to 1
  • 6(0)=1
• Anything raised to the power 1 is equal to itself
  • 6(1)=6

Indices checklist

• The base number have to be the same
• If there’s no index, the number has the power 1
• Be careful with negatives