Rules Of Indices
Introduction
Four important rules of indices are:
Four important rules of indices are listed in table 1. Rules of multiplication and division are applied for indices containing identical base.
Other important rules - applied for indices containing different base.
Four important rules of indices are:
- Rule of Multiplication
- Rule of Division
- Rule of Power of a Power
- Rule of Powers of Brackets
Four important rules of indices are listed in table 1. Rules of multiplication and division are applied for indices containing identical base.
No. | Rules of indices | Examples |
1 | Rule of Multiplication am×an=am+n |
23×24=23+4=27 |
2 | Rule of Division am÷an=am−n |
34÷32=34−2=32 |
3 | Rule for power of a power (am)n=am×n |
(42)3=42×3=46 |
4 | Rule of Powers of Brackets (ambncp)r=am×rbn×rcp×r |
(3ab2c2)2=32a2b222c2×2=9a2b24c4 |
Other important rules - applied for indices containing different base.
No. | Rules of indices | Examples |
1 | Different base but similar power am×bm=(a×b)mcn÷dn=(cd)n |
e3×f3=(e×f)3=(ef)3 |
2 | Zero Power a0=1 |
60=1 |
3 | Negative Power 1am=a−m |
142=4−2 |
4 | Rule of Root m√an=anm |
3√a2=a23 |
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