Question

Simplifying Products and Quotients of Powers

7² 78 7°
74 74
a
11

=
7b
b =

Answer 1

a = 10; b = 6

Explanation:

7² × 7^8 = 7^a

7² × 7^8 = 7^(2 + 8) = 7^10 = 7^a

a = 10

7^10/7^4 = 7^b

7^10 / 7^4 = 7^(10 - 4) = 7^6 = 7^b

b = 6