Multiply. $\left(-\frac{8}{9}\right)^{2}$
A) $\frac{8}{81}$
B) $\frac{81}{64}$
C) $-\frac{64}{81}$
D) $\frac{64}{81}$
E) $\frac{8}{9}$

Question

Quizplus · Accepted Answer

When we square a negative fraction, the negative sign disappears and we square the numerator and denominator separately. Thus, $\left(-\frac{8}{9}\right)^{2}=\frac{(-8)^{2}}{(9)^{2}}=\frac{64}{81}$. Therefore, the answer is choice D, $\frac{64}{81}$.

Multiply (−89)2\left(-\frac{8}{9}\right)^{2}(−98​)2 A) 881\frac{8}{81}818​ B) 8164\frac{81}{64}6481​ C) −6481-\frac{64}{81}−8164​ D) 6481\frac{64}{81}8164​ E) 89\frac{8}{9}98​

Multiply $\left(-\frac{8}{9}\right)^{2}$ A) $\frac{8}{81}$ B) $\frac{81}{64}$ C) $-\frac{64}{81}$ D) $\frac{64}{81}$ E) $\frac{8}{9}$