Question

1/3 (√7)^6 × (25)^3/2 × (1/5^3)

please help me with this ques.
The ANSWER MUST BE : 343/3​

Answer 1

$question = \frac{1}{3} ( \sqrt{7} )^{6} \times {25}^{ \frac{3}{2} } \times \frac{1}{ {5}^{3} } \\ \\ solution. \\ = \frac{1}{3} (7) ^{ \frac{1}{2} \times 6 } \times ( {5)}^{2 \times \frac{3}{2} } \times \frac{1}{125} \\ \\ = \frac{1}{3} (7)^{3} \times (5) {}^{3} \times \frac{1}{125} \\ \\ = \frac{1}{3} (343) \times 125 \times \frac{1}{125} \\ \\ = \frac{343}{3} \: \: is \: the \: answer...$