MATH SOLVE

3 months ago

Q:
# Which expression is equivalent to ^4 sqrt 144a^12 b^3

Accepted Solution

A:

The expression equivalent to ^4 sqrt 144a^12 b^3 will be found by simplifying our expression as follows:

^4 sqrt 144a^12 b^3

=(144a^12b^3)^(1/4)

=(12^2a^12b^3)^(1/4)

=12^(1/4*2)a^(12*1/4)b^(3*1/4)

=12^(1/2)a^3b^(3/4)

Answer: 12^(1/2)a^3b^(3/4)

^4 sqrt 144a^12 b^3

=(144a^12b^3)^(1/4)

=(12^2a^12b^3)^(1/4)

=12^(1/4*2)a^(12*1/4)b^(3*1/4)

=12^(1/2)a^3b^(3/4)

Answer: 12^(1/2)a^3b^(3/4)