a^m.a^n Flashcards
1
Q
a^m.a^n
A
a^m+n
2
Q
What can this expression also mean?
(4/5)^5
A
(4)^5/(5)^5
3
Q
a^-5
A
1/(a)^5 provided a not equal to 0
4
Q
a^3/a^2
A
a^3-1 = a^1 = a
as both have same base, we can simplify
5
Q
a^2/a^4
A
= a^-2 = 1/(a)^2
6
Q
a^-k
A
1/(a)^k, when a is not equal to 0
7
Q
solve a^m.a^n when
a = 4/5
m = -3
n = 2
A
(4/5)^-1
= 5/4
8
Q
a^1/m
A
mroot(a)
denotes the mth root of a, i,e a number which when multiplied by itself m -1 times yields a
2root(a) = square root
3root(a) = cubed root
9
Q
a^1/m.a^1/m
A
a^m.(1/m)
=a
9
Q
a^1/m . a^1/m
A
a^m.(1/m)
=a
10
Q
a^-1/m
A
1/ (a)^1/m
= 1/mroota
11
Q
a^0
A
1
a^m . a^-m = a^0
a^m . a^-m = 1
12
Q
(a^m)^n
A
a^mn
13
Q
Solve
(a^m)^n
when
a = 4/5
m = 3
n = 2
A
(4/5)^6
14
Q
a^m . b^m
A
(ab)^m
