Question

1. What expression is same as (a.a.a)(b.b)?

A. (4a)(2b)
C. a" b2
B. a2 b2
D. 8ab​

Answer 1

a^3b^2

Explanation:

Recall that the first law of indices states that

a^x * a^y = a^(x+y)

Hence the expression (a.a.a)(b.b)

= a^(1+1+1) * b^(1+1)

= a^3b^2

This is the product of a raised to the power of 3 and b raised to the power of 2