Verified Answer :

\(4^6*4^-^8 = 4^6^+^-^8=4^-^2= \frac{1}{4^2} = \frac{1}{16}\)

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Answer:

\((\frac{1}{4})^{2}\)

Step-by-step explanation:

\(4^{6}.4^{-8} = 4^{-2} add exponents since numbers have the same base

                         =[tex]\frac{1}{4^{2} }\) using exponent rules, the sign of the exponent changes when you take it to the denominator