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What is the simplest way to tacke this ques?

Expert replies
Source: — Problem Solving |

Atult718 wrote:Hey guys,

How would you tackle this problem

5^21 x 4^11 = 2 x 10^n
remember (x*y)^n = x^n*y^n ...

so 10^n=(2*5)^n = 2^n*5^n ...

also 4^11 = (2^2)^11 = 2^22 ..

So ... we have 5^21*2^22= 2 * 2^n*5^n .. that is 5^21*2^21= 2^n*5^n .. comparing the power on both the sides of the equation we get n = 21 ...
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by Atult718 » Fri Jul 13, 2007 6:06 am
thanks for the great explanation gabriel.
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