ONE
All Portugal
Númas
EN
Sign in
← Back to the programme
National
Hard
Numbers & Operations
7–9
What is the value of
(
2
3
)
−
2
\left(\frac{2}{3}\right)^{-2}
(
3
2
)
−
2
?
Qual é o valor de
(
2
3
)
−
2
\left(\frac{2}{3}\right)^{-2}
(
3
2
)
−
2
?
Answer options
A.
9
4
\frac{9}{4}
4
9
B.
4
9
\frac{4}{9}
9
4
C.
−
4
9
-\frac{4}{9}
−
9
4
D.
3
2
\frac{3}{2}
2
3
Check Answer
Solution
Step 1 of 3
1.
A negative exponent inverts the fraction:
(
2
3
)
−
2
=
(
3
2
)
2
\left(\frac{2}{3}\right)^{-2} = \left(\frac{3}{2}\right)^{2}
(
3
2
)
−
2
=
(
2
3
)
2
Next step
Show full solution