Laws of Indices
What is another name for index?
power or exponent
Simplify 35 ÷ 35
1
Evaluate 91
9
Simplify 5⁷ x 5³
5¹⁰
Simplify a2 x a10
a12
What is the rule for bases raised to the power of 1?
It equals the same number
Simplify
212 ÷ 26
26
Evaluate 43
64
Simplify 86 X 8⁴
810
Simplify 3y4 x 4y5
12y9
What is the rule for the zero index?
Anything raised to the power of 0 is equal to1
Simplify 3⁹÷3²
3⁷
Evaluate 2³ x 2⁰
23 = 8
Simplify 527 x 510
537
Simplify 24g14 ÷ 6g9
4g5
What is the rule for multiplying indices with same base?
When multiplying, add the powers.
Simplify x15 ÷ x11
x4
Evaluate 4² x 8⁰
42 = 16
Simplify 5⁵ x 5⁴ x 5²
511
30+4p0
5
What is the rule for dividing indices with the same base?
When dividing, subtract the powers
Simplify
6³ x 6³ ÷ 6²
64
Evaluate 32 x 32 - 1000
80
Simplify 1010 x 10 x 104
1015
(d3)7
d21