Laws of Indices
Law of Multiplying/Dividing
Zero/One Index
Negative Indices
Power to Power
100
What are the rules for multiplying indices?
When multiplying, add the exponents
100
Simplify 4⁵ x 4²
4⁷
100
Evaluate 23 x 2⁰
8
100
6-1
100
(22)3 = ____
26
200
What is the rule for power of zero and power of one?
Any number or variable raised to the power of 0 is equal to 1
Any number or variable raised to the power of 1 is the number itself
200
Simplify 2⁴ x 5⁷ x 5³
2⁴ x 5¹⁰
200
Evaluate 81
8
200
a-3
200
(x5)6 = ____
x30
300
What are the rules for negative indices?
Find the reciprocal
300
Simplify 3⁹÷3²
3⁷
300
Simplify 40 x 41
4 or 41
300
2p-5
300
(a2b)2 = _____
a4b2
400
What is the rule for dividing indices?
When a indices is divided by another, subtract the exponents
400
Simplify 9x⁷y⁵÷3x⁴y³
3x³y2
400
Evaluate a0 x b0 x a2
a2
400
as a negative power
q-2
400
(3p2)3 = _____
27p6
500
What does the power to power law state?
When a power is raised to another power, multiply the exponents to simplify