Question

Which is equivalent to v10 3/4?

Answer 1

d)
`(\sqrt[8]{(10} )^(3 x)`

Explanation:

Step(i):-

Given
`(√(10) )^{(3 x)/(4) }`

we will use formula

`(a)^(m n) = (a^(m) )^(n)`

`(√(10) )^{(3 x)/(4) } =( (10)^{(1)/(2) } )^{(3 x)/(4) }`

=
`( (10)^{(1)/(2) X(3 x)/(4) } )`

=
`( (10)^{(3 x)/(8) } )`

=
`((10)^{(1)/(8) } )^(3x)`

Step(ii):-

we will apply
`(a)^{(1)/(n) } = \sqrt[n]{a}`

=
`(\sqrt[8]{(10} )^(3 x)`