Index Laws

 

Multiplication of powers:

When multiplying numbers with the same base, keep the base and add the indices.

am x an = am+n

 

Division of powers:

When dividing numbers with the same base, keep the base and subtract the indices.

am ÷ an = am/ an = am−n       

 

Power of a power:

When raising a number in index form to a power, keep the base and multiply the indices.

(am)n = amn

 

Expanding products:

When removing brackets around a product that has been raised to a power, raise each number to that power.

(ab)m = ambm

 

Expanding quotients:

When removing brackets around a quotient that has been raised to a power, raise each number to that power.

(a/b)m = am/bm

 

 

 

 

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