(5\(\left(5^{3015}-5^{3013}\right):5^{3013}=\frac{5^{3015}}{5^{3013}}-\frac{5^{3013}}{5^{3013}}=5^2-5^0=25-1=24\)

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\(5^{3015}-5^{2013}\div5^{2013}\)

\(=5^{3015}-1\)

\(5^{3015}-5^{3013}:5^{3013}\)

\(5^{3015}-1\)

\(\left(5^{3015}-5^{3013}\right):5^{3013}=5^{3015}:5^{3013}-5^{3013}:5^{3013}\)

\(=5^2-1=25-1=24\)

\(=\left(5^{3015}-5^{3013}\right):5^{3013}=5^{3015}:5^{3013}-5^{3031}:5^{3013}\)

\(=5^2-1=25-1=24\)

1: =(195-21):2+108=174:2+108=87+108=195

2: \(=16\left(444446-444444\right)=16\cdot2=32\)

3: \(=\dfrac{5^{3015}}{5^{3013}}-\dfrac{5^{3013}}{5^{3013}}=25-1=24\)

4: \(=125-\left[65-4^3\right]=125-1=124\)

6: \(=8210\cdot43:15\cdot86=2024038.667\)

A=(0-1-2+3)+(4-5-6+7)+...+((2012-2013-2014+2015)+2016

A=0+0+...+0

A=2016

Vậy A=2016

ê câu ơi 

sai đề kìa

phải là 3013->2013

2013 mình nhầm

\(\frac{2014.2015-1}{2013.2015+2014}=\frac{2014.2015-1}{\left(2014-1\right)+2014}\)

\(=\frac{2014.2015-1}{2014.2015-2015+2014}=\frac{2014.2015-1}{2014.2015-1}=1\)

Ta có: A = \(\frac{1}{2^2}+\frac{1}{3^2}+...+\frac{1}{3013^2}\)

A < \(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{3012.3013}\)

A < \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{3012}-\frac{1}{3013}\)

A < \(1-\frac{1}{3013}\)

A < \(\frac{3012}{3013}\)< 3/4