(y^2)^4
y^8
(a^11)^8
a^88
(p^7)^-4
p^-28
1
—
28
=p^28
(2x^-5)^3
8x^-15
8
—
x^15
=8x^15
(1)^3
(—)
(x^6)
(x^-6)^3
x^-18
X^18
What rule is this:
a^m x a^n = a^m+n
Rule 1:
Multiply powers and add the indicies
What rule is this:
a^m
—–– = a^m-n
a^n
Rule 2:
dived powers and subtract indicies
What rule is this:
(a^m)^n = a^mn
Rule 3:
Multiply the indices
x^2 x x^3 x x^4
x^9
y^-2 x y-1 x y-3
y^-6
x^5
——
x^3
x^2
x^-7 -:- x^3
x^-10