Solve the following to four decimal places $\left[\left(\frac{2}{3}\right)^{-4}\right]^{-2}$
A) 1.0390
B) 0.0678
C) 0.0412
D) 0.0390
E) 0.0098

Question

Quizplus · Accepted Answer

The expression can be simplified as follows: $\left[\left(\frac{2}{3}\right)^{-4}\right]^{-2} = \left(\frac{3}{2}\right)^{4 \cdot 2} = \left(\frac{3}{2}\right)^{8}$. Calculating this gives $\left(\frac{3}{2}\right)^{8} = \left(\frac{6561}{256}\right)$, which equals approximately 0.0390 when rounded to four decimal places.

Solve the Following to Four Decimal Places [(23)−4]−2\left[\left(\frac{2}{3}\right)^{-4}\right]^{-2}[(32​)−4]−2 A) 10390 B) 0

Solve the Following to Four Decimal Places $\left[\left(\frac{2}{3}\right)^{-4}\right]^{-2}$ A) 10390
B) 0