solve 32^(3/10) * 8^(5/6)

M4maths Previous Puzzles

27 Apr 2012 power of 2

solve 32^(3/10) * 8^(5/6)

OPtion

1) 1
2) 2
3) 4
4) 8
5) 16
6) 32
7) 64
8) 128
9) 256
10) none of these

Solution

32^(3/10) = 2sqrt(2)
8^(5/6) = 4sqrt(2)
so product = 16

Correct Option: 5 Best Solution (16)

Dr.Dipin Singh   12 years AGO

32^(3/10) * 8^(5/6) = (2^5)^(3/10) *(2^3)*(5/6)
= 2^(15/10) *2^(15/6) = 2^(3/2) *2^(5/2) = 2^(8/2)=2^4=16 .. option 5

Like? Yes (10) | No (3)  

manudixit   12 years AGO

32*(3/10)*8^(5/6)
=> [2^((5*3)/10)]*[2^((3*5)/6)]
(since 2^5=32 & 2^3=8)
=> [2^(3/2)]*[2^(5/2)]
=> [(2^3)^1/2]*[(2^5)^1/2]
=> [sqrt8]*[sqrt32]
=> 16 (ANSWER)

Like? Yes (3) | No (1)  

sim   12 years AGO

2^(5*3/10)*2^(3*5/6)
2^(3/2)*2^(5/2)
2^(3/2+5/2)
2^4
16

Like? Yes (1) | No   

pranshu   12 years AGO

we can re write this equation as
(2^5)^(3/10) * (2^3)^(5/6)
(2)^(5*(3/10)) * (2)^(3*(5/6))
(2)^3/2 * (2)^5/2
(2)^(3/2 + 5/2)
(2)^(8/2)
2^4
16

Like? Yes (1) | No   

ENABOTHULA MOUNIKA   12 years AGO

32^(3/10)=2^(5*3/10)=2^3/2=2*2^1/2
8^(5/6)=2^(3*5/6)=2^5/2=4*2^1/2
therfore, on multiplying both the values 2*2^1/2 and 4*2^1/2 we get 16

Like? Yes (1) | No   

Kenny Wiratama   12 years AGO

32^(3/10) * 8^(5/6)
= 2^(3/2) * 2^(5/2)
= 2^4
= 16

Like? Yes (1) | No   

Karthick Babu   12 years AGO

2^{5*(3/10)} * 2^{3*(5/6)}
=2^(3/2) * 2^(5/2)
=2^4(since 2^(3/2+5/2))
=16

Like? Yes (3) | No (3)  

shyoram Gurjar   12 years AGO

32^3/10 = (2)^5*3/10 =2^3/2....................(1)


8^5/6 = 2^3*5/6 =2^5/2........................(2) Multiplying (1)& (2)

2^(3/2+5/2)= 2^4 =16.....Ans

Like? Yes (3) | No (3)  

B.Senthil Kumar   12 years AGO

32^(3/10) * 8^(5/6)
2^5^(3/10) * 2^3^(5/6)
2^(3/2) * 2^(5/2)
2^(3/2+5/2)
2^4=16

Like? Yes (2) | No (3)  

Balakumaran N.A   12 years AGO

2^5^(3/10) = 2^3/2
2^3^(5/6) = 2^5/2;

Therefore, 2^3/2 * 2^5/2 = 2^4 =16.

Like? Yes (2) | No (3)  

chiru   12 years AGO

2^(5*(3/10)) * 2^(3*(5/6))
2^(3/2)*2^(5/2)
2^(8/2)
=16

Like? Yes (1) | No (3)  

sumit.kumar singh   12 years AGO

32^(3/10)=2^(15/10)
8^(5/6)=2^(15/6)
so 2^(15/10)*2^(15/6)
which is equal to 2^(3/2)*2^(5/2)
which is equal to 16 so option 5 is correct

Like? Yes (1) | No (3)  

prithviraj sanningannavar   12 years AGO

simplifying the given expression we get,
((2^5)^(3/10))*((2^3)^(5/6))=(8^(1/2))*(32^(1/2))
=256^(1/2)=16

Like? Yes (1) | No (3)  

Flower   12 years AGO

32^(3/10) * 8^(5/6) = 16

Like? Yes (2) | No (4)  

Rakesh Kumar Kohli   12 years AGO

32^(3/10) * 8^(5/6)
= (2^5)^(3/10) * (2^3)^(5/6)
= 2^(3/2)* 2^(5/2)
= 2^4 = 16

Like? Yes (1) | No (3)  

sivakumar   12 years AGO

32^(3/10)= (2^5)^(3/10)= 2^(15/10);---- Eqn1
8^(5/6)=(2^3)^(5/6)= 2^(15/6);--- Eqn2
Eqn1*Eqn2 = 2^[(15/10)+(15/6)] = 2^4=16;

Like? Yes (1) | No (4)