Question

Math help pleaseeeee

Answer 1

`x^{(4)/(5) }`

Explanation:

Using the rule of exponents

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

`a^(m)` ×
`a^(n)` =
`a^((m+n))`, hence

`\sqrt[5]{x}` =
`x^{(1)/(5) }`, thus

`x^{(1)/(5) }` ×
`x^{(1)/(5) }` ×
`x^{(1)/(5) }` ×
`x^{(1)/(5) }`

=
`x^{(4)/(5) }`

Answer 2

`x^{(4)/(5) }`

Explanation:

We are given the following expression and we are to determine its most simplified form:

`\sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x } . \sqrt [ 5 ] { x }`

We know that
`\sqrt [ 5 ] { x }`
`= x ^ { \frac { 1 } { 5 } }`

And since we have four of these like terms so the power of x will become 4, thus making it
`x ^4`.

When
`x ^ 4` is combined with the square root 5, we get:

`x^4 * x^{(1)/(5)} = x^{(4)/(5) }`