law of exponents Flashcards
1
Q
exponent
A
shows repeated multiplication of a number by itself
2
Q
when multiplying two power of the same value keep the bases the same and add exponents together
A
product of powers rule
a^m x a^n = a ^m+n
3
Q
a^n/a^m = a^m-n
A
Quotient of powers rule
4
Q
(a^m)^n = a^mn
A
Power of a power rule
4
Q
a^n/b^n = (a/b)^n
A
Product of a quotient rule
5
Q
a^n x b^n = (ab)^n
A
Product to a power rule
6
Q
a^0 = 1
A
Zero power rule
7
Q
1/a^n = a^n
A
Negative exponent rule
*reciprocal
8
Q
a ^1/n = a^, a^1/n = n square root of a
A
Fractional exponent rule
9
Q
same sign, add and keep sign
different sign, subtract and keep sign of larger number
A
add and subtract signed numbers
10
Q
A