Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
The value of $\Big(-\frac{2}{3}\Big)^4$ is equal to:
✓
$\frac{16}{81}$
B
$\frac{81}{16}$
C
$\frac{-16}{81}$
D
$\frac{81}{-16}$
✓
Answer
Correct option: A.
$\frac{16}{81}$
A. $\frac{16}{81}$ Solution:
Given,
$\Big(\frac{-2}{3}\Big)^4$
$=\Big(\frac{-2}{3}\Big)\times\Big(\frac{-2}{3}\Big)\times\Big(\frac{-2}{3}\Big)\times\Big(\frac{-2}{3}\Big)$
$=\frac{16}{81}$
[for $(-a)^m,$ if m is even, then $(-a)^m$ is positive]
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