Find the missing term.7^-147 x 7^98 = 7^18 x 7^-38 x7^(-20)7^227^(-29)7^58

Question

asked May 18, 2023 179k views

1 Answer

Samad Shukr · Answer 1 · 2023-05-23T03:01:12+0000

Let x be the missing term, then we have the equation:

$7^(-147)\cdot7^(98)=7^(18)\cdot7^(-38)\cdot x^{}$

To find the missing term we solve the equation:

$\begin{gathered} 7^(-147)\cdot7^(98)=7^(18)\cdot7^(-38)\cdot x^{} \\ 7^(-49)=7^(-20)x \\ x=(7^(-49))/(7^(-20)) \\ x=7^(-29) \end{gathered}$

Therefore, the missing value is: