Question

Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot? x squared (RootIndex 4 StartRoot x squared EndRoot) x2.2 x cubed (RootIndex 4 StartRoot x EndRoot) x5

Answer 1

the correct answer is A

Explanation:

hope this helped

Answer 2

The option x squared ( root index 4 start root x squared end root) is correct

Therefore the equivalent expression to the given expression is
`x^2\sqrt[4]{x^2}`

Explanation:

Given expression is
`\sqrt[4]{x^(10)}`

To find the equivalent expression to the given expression :

`\sqrt[4]{x^(10)}`

`=\sqrt[4]{x^(8+2)}`

`=\sqrt[4]{x^8.x^2}` ( using the property
`a^m.a^n=a^(m+n)` )

`=\sqrt[4]{x^(2* 4).x^2}`

`=\sqrt[4]{(x^2)^4x^2}` ( using the peoperty
`a^(mn)=(a^m)^n` )

`=\sqrt[4]{(x^2)^4}* \sqrt[4]{x^2}` ( using the property
`√(ab)=√(a)* √(b)` )

`=x^2\sqrt[4]{x^2}`

Therefore
`\sqrt[4]{x^(10)}=x^2\sqrt[4]{x^2}`

Therefore the equivalent expression to the given expression is
`x^2\sqrt[4]{x^2}`

The option "x squared (RootIndex 4 StartRoot x squared EndRoot)" is correct

That is
`x^2\sqrt[4]{x^2}` is correct