Question

Write with fractional exponents. (do not use parenthesis) (4)√y^3)

Answer 1

The power rule (or law of indices) that applies to this expression is


`x^{ (m)/(n) } = \sqrt[n]{x^(m) } = ( \sqrt[n]{x}) ^(m)`

we have
`4 \sqrt{ y^(3) }`
we write
`\sqrt{ y^(3) } = y^{ (3)/(2) }` , note that square root
`√(x)` equals to
`\sqrt[2]{x}`

hence, the final expression is
`4( y^{ (3)/(2) } )`