Maharashtra BoardEnglish MediumSTD 7MathsExponents1 Mark
MCQ
$(1+3+5+7+9+11)^{\frac{3}{2}}=$
A
$36$
✓
$216$
C
$256$
D
None of these.
✓
Answer
Correct option: B.
$216$
$(1+3+5+7+9+11)^{\frac{3}{2}}$
$=(36)^{\frac{3}{2}}$
$=(6^2)^{\frac{3}{2}}$
$=6^{2\times\frac{3}{2}}$
$[\text{As,}(\text{x}^{\text{m}})=\text{x}^{\text{mn}}]$
$=6^3$
$=216$
Hence, the correct alternative is option $(b).$
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