Find the value of  $$a \times a^{3/2} \times a^2 \times a^{5/2} \times a^3 \times a^{7/2} \times a^4 \times a^{9/2} \times a^5$$​

Correct option is B

Given:
​$$a \times a^{3/2} \times a^2 \times a^{5/2} \times a^3 \times a^{7/2} \times a^4 \times a^{9/2} \times a^5$$​​

Formula:
When multiplying powers with the same base, add the exponents:

a^m × aⁿ = a^{​(m + n)}

Solution:
Add the exponents:
= 1 + 3/2 + 2 + 5/2 + 3 + 7/2 + 4 + 9/2 + 5
= (1 + 2 + 3 + 4 + 5) + (3/2 + 5/2 + 7/2 + 9/2)
= 15 + (3 + 5 + 7 + 9)/2
= 15 + 24/2
= 15 + 12
= 27

Final Answer:

(b) a²⁷