Problem

6) What is the missing exponent in the equation below?
\[
\frac{7^{8}}{7^{10}}=7^{x}
\]
(A) -2
(B) 2
(C) 18
(D) -18

Answer

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Answer

\[x=-2\]

Steps

Step 1 :\[\frac{7^8}{7^{10}}=7^{8-10}\]

Step 2 :\[7^{8-10}=7^{-2}\]

Step 3 :\[x=-2\]

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