Question

(x^12)^5 Х (x^-2)^9 x ____? = (x^40)^4Find the missing term.

Answer 1

Given

`(x^{12^{}})^5*(^{}x^(-2))^9*\boxed{}\questeq(x^(40))^5`

Solution

`x^(12*5)* x^(-18)*\boxed{}=x^(200)`

simplify

`\begin{gathered} x^(60)* x^(-18)*\boxed{}=x^(200) \\ x^(60-18)*\boxed{}=x^(200) \\ x^(42)*\boxed{}=x^(200) \\ \end{gathered}`

Divide both sides by the coefficient of the box

`\begin{gathered} \boxed{}=(x^(200))/(x^(42)) \\ \\ \\ \boxed{}=x^(200-42) \\ \boxed{}=x^(158) \end{gathered}`

The final answer

`x^(158)`