Question

Multiply x to the 2 fifths power times x to the 2 ninths power

Answer 1

When multiplying, add exponents together.
x ^ (2/5) times x ^ (2/9) = x ^ (28/45)

Answer 2

`x^{(28)/(45)}`

Explanation:

We are asked to multiply
`x^{(2)/(5)}` to
`x^{(2)/(9)}`.

Upon multiplying
`x^{(2)/(5)}` to
`x^{(2)/(9)}`, we will get:

`x^{(2)/(5)}* x^{(2)/(9)}`

Using exponent property
`a^b* a^c=a^(b+c)`, we will get:

`x^{(2)/(5)+(2)/(9)}`

Let us make a common denominator.

`x^{(2*9)/(5*9)+(2*5)/(9*5)}`

`x^{(18)/(45)+(10)/(45)}`

`x^{(18+10)/(45)}`

`x^{(28)/(45)}`

Therefore, the product of our given expressions would be
`x^{(28)/(45)}`.