Question

Simplify root(a^3b^4) x root(a^6b^3)

Answer 1

Answer:

a^3b⁴ × a^6b³

= a^3b*4 × a^6b*3

= a^12b × a^18b

= a^12b+18b { a¹×a² = a³ }

= a^30b ans.

Hope it helps u.

Answer 2

Answer:

$\sqrt{ {a}^{3} {b}^{4} } \times \sqrt{ {a}^{6} {b}^{3} }$

$= {a}^{ \frac{3}{2} } \times {b}^{ \frac{4}{2} } \times {a}^{ \frac{6}{2} } \times {b}^{ \frac{3}{2} }$

$= {a}^{ \frac{3}{2} } \times {a}^{3} \times {b}^{2} \times {b}^{ \frac{3}{2} }$

$= {a}^{3 + \frac{3}{2} } \times {b}^{2 + \frac{3}{2} }$

$= {a}^{ \frac{9}{2} } \times {b}^{ \frac{7}{2} }$

$\sqrt{ {a}^{9} \times {b}^{7} }$