Laws of Indices
What is the rule for multiplying indices with same base?
When multiplying, add the exponents.
Simplify 4⁵ / (3⁴/3²)
45 / 32
Solve 2³ x 2⁰
8
Simplify 4⁵ x 3⁴ x 4²
4⁷ x 3⁴
What is the rule for dividing indices with the same base?
When dividing, subtract the exponents
Simplify
212
__________
26
26
Solve 4² x 8⁰
16
Simplify 2⁴ x 5⁷ x 5³ x 6² x 6⁸
2⁴ x 5¹⁰ x 6¹⁰
What is the rule for the zero index?
Anything raised to a 0 is equal to1
Simplify 3⁹÷3²
3⁷
What is 94 in index form?
9 x 9 x 9 x 9
Solve 527 x 510
537
What is the rule for multiplying indices with different bases?
When multiplying indices with different bases, calculate each exponential term individually
Solve 3x15 ÷ 3x11
3x4
Solve
40 x 410
410
Solve 86÷8⁴
82 =64
Are indices and exponents ther same?
Yes.
Simplify
6³ x 6³
_______________
6²
64
Solve 4³ x 4-³
40 = 1
Solve 10101 x 10-¹
10100