Enter the correct answer in the box. Simplify the expression x - 4 |5.x 7 \8

Question

Enter the correct answer in the box. Simplify the expression
`x - 4 |5.x 7 \8`

Answer 1

Question

`x^{(-4)/(5)}.x^{(7)/(8)}`

Apply multiplication law of exponent.

`\begin{gathered} \text{Multiplication law of exponent } \\ X^m.^{}X^{n\text{ }}=X^(m+n) \end{gathered}`
`\begin{gathered} X^{(-4)/(5)\text{ }}.X^{(7)/(8)} \\ =X^{(-4)/(5)\text{ + }(7)/(8)} \\ =X^{\frac{-4\text{ x 8 + 5 x 7}}{40}} \\ =X^{\frac{-32\text{ + 35}}{40}} \\ =X^{(3)/(40)} \end{gathered}`