Question

Simplify the expression. Write your answer as a power. (2/3)^2⋅(2/3)^6

Answer 1

(2/3)^2⋅(2/3)^6 = (2/3)^(2+6) = (2/3)^8

When we have the same thing being multiplied by itself with a different exponent on it, we add the two exponents.

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