Power Laws
Quotient of Powers (same exponent) means that an/bn = ?
(a/b)n
Using your knowledge of the law of Power of Zero figure out what 172639628328659169252989586290 = ?
1
What is the divisibility trick for 2?
If the number is even.
What is the prime factorization of 108?
22 x 33
What is the LCM of 5, 7 and 8?
280
Quotient of Powers (same base) means that am/an = ?
am-n
Negation in exponent means that a-n= ?
1/an
What is the divisibility trick for 3?
The sum of the digits is divisible by 3.
What is the prime factorization of 84?
22 x 3 x 7
What is the LCM of 12, 3 and 5?
60
Product of Powers (same base) means that am x an = ?
am+n
Power of a Negation (even) means that (-a)n= ?
an
What is the divisibility trick for 4?
The last 2 digits are divisible by 4.
What is the prime factorization of 144?
32 x 24
What is the LCM of 49, 25 and 9?
11025
Product of Powers (same exponent) means that anbn = ?
(ab)n
Power of Negation (odd) means that (-a)n= ?
-an
What is the divisibility trick for 6?
If it is divisible by 2 and 3.
What is the prime factorization of 4375?
54 x 7
What is the GCD of 45 and 2?
1
Power of power means that (am)n = ?
amn
Power of Reciprocal means that (1/b)n = ?
1/bn
What is the divisibility trick for 8?
If the numbers last 3 digits are divisible by 8.
What is the prime factorization of 67500
22 x 33 x 54
What is the GCD of 125 and 70?
5