MCQ
$(25^2-15^2)^{\frac{3}{2}}=$
- A$4000$
- ✓$8000$
- C$3125$
- D$1024$
✓
Answer
Correct option: B.
$8000$
Since,
$(25^2-15^2)^{\frac{3}{2}}$
$=(625-225)^{\frac{3}{2}}$
$=(400)^{\frac{3}{2}}$
$=(20^2)^{\frac{3}{2}}$
$=20^{2\times\frac{3}{2}}$ $\Big[\text{As, }(\text{x}^{\text{m}})^{\text{n}}=\text{x}^{\text{mn}}\Big]$
$=20^3$
$=8000$
Hence, the correct alternative is option $(b)$.
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