(2,0 điểm) Thực hiện phép tính (tính hợp lí nếu có thể): a) 2 3 ⋅ 2 2 + 4 4 : 4 4 − 2 0 . b) ( − 4 ) ⋅ 8 ⋅ ( − 125 ) ⋅ ( − 3 ) . c) 27 ⋅ 121 − 87 ⋅ 27 + 73 ⋅ 34. d) 2 353 − ( 47

a) \({2^3} \cdot {2^2} + {4^4}:{4^4} - {2^0}\)

\( = {2^5} + 1 - 1\)

\( = 32\).

c) \(27 \cdot 121 - 87 \cdot 27 + 73 \cdot 34\)

\( = 27 \cdot \left( {121 - 87} \right) + 73 \cdot 34\)

\( = 27 \cdot 34 + 73 \cdot 34\)

\( = 34 \cdot \left( {27 + 73} \right)\)

\( = 34 \cdot 100\)

\( = 3\,\,400\).

b) \(\left( { - 4} \right) \cdot 8 \cdot \left( { - 125} \right) \cdot \left( { - 3} \right)\)

\( = \left[ {8 \cdot \left( { - 125} \right)} \right] \cdot \left[ {\left( { - 4} \right) \cdot \left( { - 3} \right)} \right]\)

\[ = \left( { - 1\,\,000} \right) \cdot 12\]

\( = - 12\,\,000\).

d) \(2\,\,353 - \left( {473 + 2\,\,153} \right) + \left( { - 55 + 373} \right)\)

\( = 2\,\,353 - 473 - 2\,\,153 - 55 + 373\)

\( = \left( {2\,\,353 - 2\,\,153} \right) + \left( { - 473 + 373} \right) - 55\)

\( = 200 + \left( { - 100} \right) - 55\)

\( = 100 - 55\)

\( = 45\).