1.
What should come in place of the question mark (?) in the following questions?$$(4\times4\times4\times4\times4\times4)^{5}\times(4\times4\times4)^{8}\div(4)^{3}=(64)^?$$
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By: anil on 05 May 2019 04.05 pm
The simplified expression equals $$(4 imes4 imes4 imes4 imes4 imes4)^{5} imes(4 imes4 imes4)^{8}div(4)^{3}= (4^6)^5 imes (4^3)^8 div 4^3 = 4^{30} imes 4^{24} div 4^3 = 4^{30+24-3} = 4^{51}$$ $$64 = 4^3$$ So, $$4^{51} = 4^{3 imes 17} = (4^3)^{17} = 64^{17}$$ Hence the correct answer is 17
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