Question

which expression have a value of 16/81? check all that apply. (2/3)^4, (16/3)^4, (4/81)^2, and (4/9)^2

Answer 1

`Use\ \left((a)/(b)\right)^n=(a^n)/(b^n)\\\\\left((2)/(3)\right)^4=(2^4)/(3^4)=(16)/(81)\ :)\\\\\left((16)/(3)\right)^4=(16^4)/(3^4)=(16^4)/(81)\\eq(16)/(81)\ :(\\\\\left((4)/(81)\right)^2=(4^2)/(81^2)=(16)/(81^2)\\eq(16)/(81)\ :(\\\\\left((4)/(9)\right)^2=(4^2)/(9^2)=(16)/(81)\ :)`

Answer 2

(2/3)⁴, (4/9)² apply to 16/81

Explanation:

16/81

8 * 2/27 * 3

4 * 2 * 2/9 * 3 * 3

2 * 2 * 2 * 2/3 * 3 * 3 * 3