Question

JEROME
(2/3)^2 = 2/9

can someone tell me what is Jerome mistake.​

Answer 1

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.