MCQ
The value of $\Big(\frac{-1}{216}\Big)^{-\frac{2}{3}}$ is:
- ✓$36$
- B$-36$
- C$\frac{1}{36}$
- D$-\frac{1}{36}$
✓
Answer
Correct option: A.
$36$
$\Big(\frac{-1}{216}\Big)^{-\frac{2}{3}}$
$=\bigg[\Big(\frac{-1}{6}\Big)^3\bigg]^{-\frac{2}{3}}$
$=\Big(\frac{-1}{6}\Big)^{3\text{x}-\frac{2}{3}}$
$=\Big(-\frac{1}{6}\Big)^{-2}$
$=\frac{1}{\Big(-\frac{1}{6}\Big)^2}$
$=\frac{1}{\frac{1}{36}}=36$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In Figure. $PB = PD$. The value of $x$ is:
→How many terms are there in the expression $2x^2y?$
→The base of a prism is:
Area of triangle $MNO$ of is:
→The interest on a sum of $₹ 2500$ for $4$ years at the interest rate $4\%$ is.
→$\frac{44}{-77}$ is standard form is:
→Assertion: $2$ is a rational number. Reason: The square roots of all positive integers are irrationals:
→The product of 0.03 x 0.15 is
Find the value of the given expression: $\Bigg(\Big(\frac{3}{4}\Big)^1-\Big(\frac{1}{4}\Big)^1\Bigg)^{-1}$
→$x$ exceeding 3 by 7 , can be represented as
→