Question

I hate math when I don’t know how to do it and since I don’t have school well it’s hard for me to understand it thank you for helping.

Answer 1

Given:

`(\sqrt[4]{81})^(5)`

To find:

Exponential form

Simplified form

Solution:

`(\sqrt[4]{81})^(5)`

Apply radical rule:

`\sqrt[n]{a}=a^{(1)/(n)}`

`(\sqrt[4]{81})^(5)=\left(81^{(1)/(4)}\right)^(5)`

Apply exponent rule:

`\left(a^(b)\right)^(c)=a^(b c)`

`$\left(81^{(1)/(4)}\right)^(5)=81^{(5)/(4)}`

The exponent form of
`(\sqrt[4]{81})^(5)` is
`81^{(5)/(4)}`.

Factor the number
`81=3^(4)`

`81^{(5)/(4)}=\left(3^(4)\right)^{(5)/(4)}`

Both 4 in the numerator and denominator of powers get canceled.

`=3^(5)`

= 243

The simplified form is 243.