Laws of Indices
Positive Indices
Zero Index
Negative Indices
Exponential Equations
100
What are the rules for positive indices?
When multiplying, add the exponents When dividing, subtract the exponents
100
simplify 4⁵* 3⁴* 4²
4⁷ * 3⁴
100
answer (like without exponentes in your answer) (No calculators) 2³*2⁰
8
100
6³*6-³
1
100
2^x =4
x=2
200
What is the rule for the zero index?
Anything raised to a 0 is a 1
200
Simplify 2⁴*5⁷*5³*6²*6⁸
2⁴*5¹⁰*6¹⁰
200
answer (like without exponentes in your answer) (No calculators) 4²*8⁰
16
200
4*2-³
1/2
200
2^x=16
x=4
300
What are the rules for negative indices?
Flip the negative number to the oppside side (find the recipical)
300
Simplify 3⁹÷3²
3⁷
300
answer (like without exponentes in your answer) (No calculators) (4⁰)²
1
300
5÷2-²
1 1/4
300
(⅓)^x =81
X= -4
400
What are exponential equations?
Equations that involve indices as unknowns.
400
Simplify 3x⁷y⁵z³÷9x⁴y³z
3x³yz²÷9
400
answer (like without exponentes in your answer) (No calculators) 4⁰*3² _____ 6⁰
9
400
8-⁶÷8-⁴
⅟8² or ⅟64
400
4^-x=⅟₁₆
X=2
500
Are indices considered exponents?
Yes. Ha ha you thought this was a hard one And someone got by with common sense and now they have 500 points Life sucks huh?
500
Simplify 6³*6³*8⁵*8⁶ __________ 8⁶*6²
6⁴*8⁵
500
answer (like without exponentes in your answer) (No calculators) 4³*3⁷*4-³*3-⁵
9
500
100*10-¹
10
500
6^z=36^z
Z=0
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