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

$x^{ \frac{m}{n} } = \sqrt[n]{x^{m} } = ( \sqrt[n]{x}) ^{m}$

we have $4 \sqrt{ y^{3} }$
we write $\sqrt{ y^{3} } = y^{ \frac{3}{2} }$ , note that square root $\sqrt{x}$ equals to $\sqrt[2]{x}$

hence, the final expression is $4( y^{ \frac{3}{2} } )$