Which of the following is the correct radical form of this expression ((p^12 q^(3/2))/(64))^(5/6) A)root(6)(((p^12 q^(3/2))/(64)))^5 B)root(5)(((p^12 q^(3/2))/(64)))^6 C)sqrt((p^12 q^(3/2))/(64))^{(5)/(6)} D)sqrt((p^12 q^(3/2))/(64))^{(1)/(6)}

Ricky Arias

Ricky Arias

Answered question

2022-11-22

Which of the following is the correct radical form of this expression
( p 12 q 3 2 64 ) 5 6
A ) ( p 12 q 3 2 64 6 ) 5 B ) ( p 12 q 3 2 64 5 ) 6 C ) ( p 12 q 3 2 64 ) 5 6 D ) ( p 12 q 3 2 64 ) 1 6

Answer & Explanation

erlent00s

erlent00s

Beginner2022-11-23Added 15 answers

The given expression is
p 12 q 3 / 2 64 5 / 6
Recall that:
a m n = ( a n ) m
For the given expression,
m=5
n=6
and
a = p 12 q 3 2 64
We substitute all these values to obtain the radical form:
( p 12 q 3 2 64 ) 5 6 = ( p 12 q 3 / 2 64 6 ) 5
The correct choice is A.

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