a)

$2^4\cdot 2^6=2^{4+6}=2^{10}$

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b) 

$4^2\cdot 2^4={\left(2^2\right)}^2\cdot 2^4=2^4\cdot 2^4=2^8$  

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c)

$2^7:2^3=2^{7-3}=2^4$

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d)

$\left(2^3\cdot 2^4\right):2^0=2^7:2^0=2^7$

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e)

$2^{-3}\cdot 2^5=2^2$

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f)

$2\cdot 2^4\cdot 2^5=2^{10}$

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g)

$2^{-4}:2^{-6}=2^{-4-\left(-6\right)}=2^{-4+6}=2^2$   

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h)

${\left(2^2\right)}^3\cdot 2=2^6\cdot 2=2^7$

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i)

$2\cdot 2^{15}:2^3=2^{16}:2^3=2^{13}$  

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j)

$2^{-6}:\left(2^6:2^{-4}\right)=2^{-6}:2^{10}=2^{-16}$