Question

100 POINTS!! Express in simplest radical form

Answer 1

`\large\boxed{3125x\sqrt[5]{x}}`

Explanation:

`\sqrt[n]{a^m}=a^(m)/(n)\\\\\sqrt[n]{a^n}=a\\\\\sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\a^n\cdot a^m=a^(n+m)\\---------------------\\\\3125x^(6)/(5)=3125\sqrt[5]{x^6}=3125\sqrt[5]{x^(5+1)}=3125\sqrt[5]{x^5\cdot x^1}=3125\sqrt[5]{x^5}\cdot\sqrt[5]{x}\\\\=3125x\sqrt[5]{x}`

Answer 2

3125 x 5th root (x)

Explanation:

(3125 ) * x^(6/5)

When we have a some thing to a power greater than 1, we can separate it

We can rewrite 6/5 as 5/5 + 1/5

3125 x^(5/5+1/5)

We know a^ b *a^c = a^(b+c)

3125* x^5/5 * x^ 1/5

x^5/5 is x^1 or just x

3125* x * x^ 1/5

3125 x 5th root (x)