JEROME (2/3)^2 = 2/9 can someone tell me what is Jerome mistake.

Question

asked Jan 10, 2022 165k views

1 Answer

Mehrdad Pedramfar · Answer 1 · 2022-01-14T07:10:38+0000

Law of Exponent

$\displaystyle \large{( (a)/(b) )^(n) = \frac{ {a}^(n) }{ {b}^(n) } }$

From the expression.

$\displaystyle \large{( (2)/(3) )^(2) = \frac{ {2}^(2) }{ {3}^(2) } = \boxed{(4)/(9) } }$

Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.