Laws of Indices
What is the rule for multiplying positive indices?
When multiplying, add the exponents.
Simplify 4⁵ x 3⁴ x 4²
4⁷ x 3⁴
Solve 2³ x 2⁰
8
Solve 6³ x 6-³
1
2^x =4
x=2
What is the rule for dividing positive indices?
When dividing, subtract the exponents
Simplify 2⁴ x 5⁷ x 5³ x 6² x 6⁸
2⁴ x 5¹⁰ x 6¹⁰
Solve 4² x 8⁰
16
Solve 4 x 2-³
1/2
What is the rule for the zero index?
Anything raised to a 0 is a 1
Simplify 3⁹÷3²
3⁷
Solve (4⁰)²
1
Solve 5÷2-²
1 1/4 or 5/4
What are the rules for negative indices?
Flip the negative number to the opposite side (find the reciprocal)
Solve 3x⁷y⁵z³÷9x⁴y³z
x³yz²÷3
Solve
4⁰*3²
_______
6⁰
9
Solve 8-⁶÷8-⁴
⅟8² or ⅟64
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?
Simplify
6³ x 6³ x 8⁵ x 8⁶
_______________
8⁶ x 6²
6⁴ x 8⁵
Solve 4³ x 3⁷ x 4-³ x 3-⁵
9
Solve 100 x 10-¹
10
6^z=36^z
Z=0