Question

What is the expression in radical form? (5ab)3/2

Answer 1

It would be a  x/n = n      √a^x  

Hope this helps

Answer 2

Answer:

The required radical form is $(5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}$

Step-by-step explanation:

Given : Expression $(5ab)^{\frac{3}{2}}$

To find : What is the expression in radical form?

Solution :

Radical form is writing number into square root , cubic form.

$x^{\frac{a}{n}}=\sqrt[n]{x^a}$

Expression $(5ab)^{\frac{3}{2}}$

Re-write it as,

$(5ab)^{\frac{3}{2}}=\sqrt[2]{(5ab)^3}$

$(5ab)^{\frac{3}{2}}=\sqrt[2]{5^3a^3b^3}$

$(5ab)^{\frac{3}{2}}=\sqrt[2]{5^2a^2b^25ab}$

$(5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}$

Therefore, The required radical form is $(5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}$