Question

Simplify the expression.

the quantity x to the two fifths power end quantity to the power of 10

Answer 1

x^4

Explanation:

(x^(2/5))^10 is what I understand the words to mean

x^(2/5*10)

x^(20/5)

x^4

Answer 2

The simplified form of given expression is
`x^4`.

Explanation:

The given expression is

`(x^(2)/(5))^(10)`

According to the power of power property of exponent, if x, a and b are any real number, then

`(x^a)^b=x^(ab)`

Using power of power property of exponent, the given expression can be written as

`(x^(2)/(5))^(10)=x^{(2)/(5)* 10}`

`(x^(2)/(5))^(10)=x^{(20)/(5)}`

`(x^(2)/(5))^(10)=x^(4)`

Therefore the simplified form of given expression is
`x^4`.