Question

Express (2y) 3/2. in radical form please help

Answer 1

*This is on the assumption that the equation is $(2y)^{\frac{3}{2}}$

So firstly, you'll need to rewrite this as $2^\frac{3}{2}*y^\frac{3}{2}$

Next, remember the rule for exponents to radicals: "$x^\frac{m}{n}=\sqrt[n]{x^m}$ . Applying this rule to both would look like this: $\sqrt{2^3}*\sqrt{y^3}$

Next, simplify 2^3: $\sqrt{8}*\sqrt{y^3}$

Next, apply the product rule of radicals (√ab = √a*√b) to this expression, and your answer will be $\sqrt{8y^3}$