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

Question

Hanna Nelson

Mathematics

10 February, 16:02

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

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Answers (1)

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Daphne Petersen · Answer 1

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)