Question

Please help. I'm stuck.

Answer 1

The root
`√(10)` can be converted into the power
`10^{ (1)/(2) }`. Therefore we can rewrite the problem as
`(10^{ (1)/(2) } )^ {(3)/(4) x}` and then follow the exponent rules about a power to a power, multiplying 1/2 and 3/4 together.

Thus the problem becomes
`10^{(3)/(8)x}`, which then can be turned into
`\sqrt[8]{10} ^(3x)`, making the last option our answer.