Correct

[quote]2. 5a^2b x 2a^1/2b

=10a^5/8b^2, not .

Was that a typo?

3. 3b^1/2 x 2b^1/2 x 6b^-1

=36b

correct.4.7pq

14p^2q^-2

=0.5p^-1q^3

Correct.5.(3xy)^24xy^1/2

=2.25xy^1.5

It's not clear where the square roots end. Use parentheses.6.√s^2t^4 x 3√8s^3t^9

st

=8^1/3s^2t^4

7. 2a^1/2b^1/2c^-1/2 x 3a^3/2b^1/2c^3/2

=6a^4/2bc

9. (5ab)^-2 x 15a^2b^38. (a^2b^3)^2 x a^-2b^-1

=a^2b^8

( , NOT )

= 0.6ab

4/2= 2 !10. 3x^1/2y^-1 x 5x^3/2y^-2

= 15x^4/2y^-3

Again, it is not clear where the square roots end. Use parentheses.11.3√27p^6q^9

√9pq

= 3^5/6p^5/2q^7/2