Question

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Answer 1

d: \(\dfrac{4^2\cdot4^3}{4^{10}}=\dfrac{4^5}{4^{10}}=\dfrac{1}{4^5}\)

\(\dfrac{\left(0.6\right)^5}{\left(0.2\right)^6}=\left(\dfrac{0.6}{0.2}\right)^5\cdot\dfrac{1}{0.2}=\dfrac{243}{0.2}=1215\)

\(=\dfrac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}=\dfrac{3}{2^4}=\dfrac{3}{16}\)

\(\dfrac{6^3+3\cdot6^2+3^3}{-13}=\dfrac{3^3\left(2^3+2^2+1\right)}{-13}=-3^3=-27\)

f: \(=\dfrac{12+8-3}{12}\cdot\left(\dfrac{16-15}{20}\right)^2=\dfrac{17}{12}\cdot\dfrac{1}{400}=\dfrac{17}{4800}\)

\(=2:\left(\dfrac{3-4}{6}\right)^3=2:\dfrac{-1}{216}=-432\)