Question

Evaluate.

https://clackamasweb.owschools.com/media/g_ima01_2014/2/244.gif

-9
3
-3

Answer 1

hmmm leme fix that a bit

Answer 2

\(\large {
\cfrac{2}{3}\sqrt{81}-\sqrt[3]{-27}-\cfrac{4}{3}\sqrt[3]{729}
\qquad
\begin{cases}
81\to 9\cdot 9\to 9^2\\
27\to 3\cdot 3\cdot 3\to 3^3\\
-27\to -3\cdot -3\cdot -3\to (-3)^2\\
729\to 9\cdot 9\cdot 9\to 9^3\\
\end{cases}
\\ \quad \\

\cfrac{2}{3}\sqrt{81}-\sqrt[3]{-27}-\cfrac{4}{3}\sqrt[3]{729}\implies \cfrac{2}{3}\sqrt[2]{9^2}-\sqrt[3]{(-3)^3}-\cfrac{4}{3}\sqrt[3]{9^3}
}\)

Answer 3

recall
minus * minus = positive
thus

minus * minus = positive and then positive * minus = minus
thus

-3 *-3*-3 = -27

Answer 4

take out what you can from the radical
multiply times the fraction outside
simplify the rational

Answer 5

so -3

Answer 6

@jdoe0001

Answer 7

well.. .. how did you get -3 though?