Verified Answer :

Find the missing term.7-147 × 798 = 718 × 7-38 × M
7^-147 7^98 = 7^18 7^-38 M
7^(-147+98) = 7^(18 + -38)
7^-49 = 7^-20 M
M = 7^-49 / 7^-20
M = 7^(-49 + 20)
M = 7^-29

So the correct answer is C.7^(-29) 

Answer: Option 'C' is correct.

The missing term is \(7^{-29}=x\)

Step-by-step explanation:

Since we have given that

\(7^{-147}\times 7^{98}=7^{18}\times 7^{-38}\times x\)

We need to find the missing part i.e. x.

We will use "Exponential law " :

\(a^m\times a^n=a^{m+n}\)

So, it becomes,

\(7^{-147}\times 7^{98}=7^{18}\times 7^{-38}\times x\\\\7^{-147+98}=7^{18-38}\times x\\\\7^{-49}=7^{-20}\times x\\\\7^{-49}\div 7^{-20}=x\\\\7^{-49-(-20)}=x\\\\7^{-49+20}=x\\\\7^{-29}=x\)

Hence, the missing term is \(7^{-29}=x\)

Therefore, Option 'C' is correct.

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