# Simplify and write the answer in exponential form:            $(i)\: (6^{2})^{4}$           $(ii)\: (2^{2})^{100}$             $(iii)\: (7^{50})^{2}$           $(iv)\: (5^{3})^{7}$

M mansi

$(i)\: (6^{2})^{4}$

can be simplified as $6^{(2\times 4)}=6^8$

$(ii)\: (2^{2})^{100}$

can be simplified as $2^{(2\times 100)}=2^{200}$

$(iii)\: (7^{50})^{2}$

can be simplified as $7^{(50\times 2)}=7^{100}$

$(iv)\: (5^{3})^{7}$

can be simplified as $5^{(3\times 7)}=5^{21}$

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