## MariaB2014 2 years ago Simplify each expression: click to see please.

1. MariaB2014

show that $\sqrt[m]{\sqrt[n]{a}}=\sqrt[mn]{a}$

2. tomo

[(a)^(1/n)]^(1/m) // ok, so just multiply the exponents a^((1/n)*(1/m)) // multiply a^(1/(mn)) // revert back so sqrt form. $\sqrt[mn]{a}$

3. MariaB2014

i understood what you're saying but it'd be way better if you can please , put it in regular format, because its confusing .

4. tomo

do you mean using the equation editor. or are you talking about changing into exponent form. you have to use the exponent form for this problem. (as far as I can tell)

5. MariaB2014

yes, the equation editor.

6. klimenkov

$$\sqrt[m]{\sqrt[n]{a}}=(a^{\frac1 n})^{\frac1m}=a^{\frac1 {mn}}=\sqrt[mn]a$$

7. MariaB2014

THANK YOU ! :DD , i understood this.