simplify this equation please!!?

Question

please show all your work so i can understand how you got your answer!...thanks♥

1) 5th sqrts(32x^6)



ps.. what i mean by 5th square roots.. is like its cubed roots but instead of it being cubed its a 5...

Answer 1

2^5 = 32
32^(1/5) = 2 (i.e. 2 is 5 th root of 32)

(32 x^6)^(1/5)
= (32)^1/5 (x^6)^(1/5)
= 2 x ^(6/5)

Answer 2

Do you mean the fifth root of 32x to the power of 6 ? Are you sure that 6 is correct ? Could it be a 5 instead ?

Answer 3

5th sqrts(32x^6)
means the 5th root of (32x^6)
or (32x^6)^(1/5)
= (2^5 x^6)^(1/5)
= 2 x^(6/5)

Answer 4

Well, this is same thing as (32)^1/5 * (x^6)^1/5
32^1/5 = 2 because 2^5 = 32.
(x^6)^1/5 = x^6/5

So the answer is 2x^(6/5)

Answer 5

5th rt(32x^6)

= 2x times 5th rt x

2 is the 5th rt of 32
because (2)(2)(2)(2)(2)
and
x is the 5th rt of x^5
because (x)(x)(x)(x)(x)
with an x leftover
therefore, it is left within the 5th rt sign

2x times 5th rt x

Answer 6

32 = 2^5 and x^6 = x.x^5

so the equation becomes 2x(5throot(x))

Answer 7

(32 x^6) ^(1/5) = (32) ^(1/5) * (x^6) ^(1/5) = 2 * x ^(6/5)

= 2x^(6/5)

Answer 8

5th sq rt(32x^6)
or 5th sq rt{(2x)^5.x}
or 2x.5th sqrt(x)
or (2x).(x)^1/5 ans