Exam question :: 2^2015 * 5^2019 = ?

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Exam question :: 2^2015 * 5^2019 = ?

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This is an exam question, for Grade 11 high scool students.

How would you go about solving this ?

Guest Nov 3, 2015

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$2^{2015}\;*\;5^{2019}\\ =2^{2015}\;*\;5^{2015+4}\\ =2^{2015}\;*\;5^{2015}\;*\;5^{4}\\ =(2*5)^{2015}\;*\;5^{4}\\ =10^{2015}\;*\;625\\ =625\;*\;10^{2015}\\ =6.25*10^2\;*\;10^{2015}\\ =6.25*\;10^{2017}\\$

That is how I would solve it

Melody Nov 3, 2015

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Melody · Answer 1 · 2015-11-03T10:41:11

$2^{2015}\;*\;5^{2019}\\ =2^{2015}\;*\;5^{2015+4}\\ =2^{2015}\;*\;5^{2015}\;*\;5^{4}\\ =(2*5)^{2015}\;*\;5^{4}\\ =10^{2015}\;*\;625\\ =625\;*\;10^{2015}\\ =6.25*10^2\;*\;10^{2015}\\ =6.25*\;10^{2017}\\$

That is how I would solve it

Exam question :: 2^2015 * 5^2019 = ?

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Exam question :: 2^2015 * 5^2019 = ?

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