Bài 50 trang 17 SBT toán 7 tập 1

Đề bài

Tính:

a) \(\displaystyle {\rm{}}{\left( {{1 \over 5}} \right)^5}{.5^5}\)           

b) \({\left( {0,125} \right)^3}.512\)                     

c) \({\left( {0.25} \right)^4}.1024\)

Lời giải

a) \(\displaystyle {\left( {{1 \over 5}} \right)^5}{.5^5} = {\left( {{1 \over 5}.5} \right)^5} = {1^5} = 1\) 

b) \({\left( {0,125} \right)^3}.512 = {\left( {0,125} \right)^3}{.8^3} \)\(\,= {\left( {0,125.8} \right)^3} = {1^3} = 1\)

c) \({\left( {0,25} \right)^4}.1024 = {\left( {0,25} \right)^4}.256.4 \)

\(= {\left( {0,25} \right)^4}{.4^4}.4 = {\left( {0,25.4} \right)^4}.4 \)\(\,= {1^4}.4 = 4\).


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