Simplify and express each of the following in exponential form :
(iii) $(6^{2} \times 6^{4}) \div 6^{3}$

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Solution

Simplifying and expressing in exponential form :
$(6^{2} \times 6^{4}) \div 6^{3} = (6^{2 + 4}) \div 6^{3}$
$(6^{2} \times 6^{4}) \div 6^{3} = 6^{6} \div 6^{3}$
$(6^{2} \times 6^{4}) \div 6^{3} = 6^{6 - 3}$
$(6^{2} \times 6^{4}) \div 6^{3} = 6^{3}$
Hence, the simplified exponential form of $(6^{2} \times 6^{4}) \div 6^{3}$ is $6^{3}$ .

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