Algebra unit 5

Question 1

product of power - a^m times a^n

Answer 1

a^(m+n)
5^1/2x5^3/2=5(1/2+3/2)==5^2

Question 2

product of a power (a^m)^n

Answer 2

a^(mxn)
(3^5/2)^2=3^(5/2x2)=3^5

Question 3

power of a product (ab)^m=a^m b^m

Answer 3

a^m b^m
(16x9)^1/2=15^1/2x9^1/2

Question 4

negative exponent a^-m

Answer 4

1/a^m

Question 5

quotient of powers a^m/a^n

Answer 5

a^(m-n)

Question 6

powers of a quotient

Answer 6

(a/b)^m=a^m/b^m