a) \(\dfrac{2^4.2^6}{\left(2^5\right)^2}.2008\)
\(=\dfrac{2^{\left(4+6\right)}}{2^{5.2}}.2008\)
\(=\dfrac{2^{10}}{2^{10}}.2008\)
\(=1.2008\)
\(=2008\)
b) \(\dfrac{2^5.15^3}{6^3.10^2}\)
\(=\dfrac{2^5.\left(3.5\right)^3}{\left(2.3\right)^3.\left(2.5\right)^2}=\dfrac{2^5.3^3.5^3}{2^3.3^3.2^2.5^2}=\dfrac{2^5.3^3.5^3}{2^5.3^3.5^2}=\dfrac{5^3}{5^2}=5\)
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